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Finding the Fourth Proportional to 951.65, 1,313.16 and 532.02

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Solution

The fourth proportional to 951.65, 1,313.16 and 532.02 is: 734.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.65 : 1,313.16 = 532.02 : x
  2. Step 2: Convert to fraction form
    951.65/1,313.16 = 532.02/x
  3. Step 3: Cross multiply
    951.65x = 1,313.16 × 532.02
  4. Step 4: Simplify right side
    951.65x = 698,625.92
  5. Step 5: Solve for x
    x = 698,625.92/951.65
  6. Step 6: Final answer
    x = 734.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.