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Finding the Fourth Proportional to 783.01, 1,174.50 and 235.19

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Solution

The fourth proportional to 783.01, 1,174.50 and 235.19 is: 352.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.01 : 1,174.50 = 235.19 : x
  2. Step 2: Convert to fraction form
    783.01/1,174.50 = 235.19/x
  3. Step 3: Cross multiply
    783.01x = 1,174.50 × 235.19
  4. Step 4: Simplify right side
    783.01x = 276,230.66
  5. Step 5: Solve for x
    x = 276,230.66/783.01
  6. Step 6: Final answer
    x = 352.78

Related Problems

Find fourth proportional to 391.50, 587.25 and 117.60
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.