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Finding the Fourth Proportional to 783.32, 1,174.26 and 398.12

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Solution

The fourth proportional to 783.32, 1,174.26 and 398.12 is: 596.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.32 : 1,174.26 = 398.12 : x
  2. Step 2: Convert to fraction form
    783.32/1,174.26 = 398.12/x
  3. Step 3: Cross multiply
    783.32x = 1,174.26 × 398.12
  4. Step 4: Simplify right side
    783.32x = 467,496.39
  5. Step 5: Solve for x
    x = 467,496.39/783.32
  6. Step 6: Final answer
    x = 596.81

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Double scale
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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.