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Finding the Fourth Proportional to 783.15, 1,174.41 and 263.07

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Solution

The fourth proportional to 783.15, 1,174.41 and 263.07 is: 394.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.15 : 1,174.41 = 263.07 : x
  2. Step 2: Convert to fraction form
    783.15/1,174.41 = 263.07/x
  3. Step 3: Cross multiply
    783.15x = 1,174.41 × 263.07
  4. Step 4: Simplify right side
    783.15x = 308,952.04
  5. Step 5: Solve for x
    x = 308,952.04/783.15
  6. Step 6: Final answer
    x = 394.50

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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.