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Finding the Fourth Proportional to 951.81, 1,313.37 and 532.10

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Solution

The fourth proportional to 951.81, 1,313.37 and 532.10 is: 734.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.81 : 1,313.37 = 532.10 : x
  2. Step 2: Convert to fraction form
    951.81/1,313.37 = 532.10/x
  3. Step 3: Cross multiply
    951.81x = 1,313.37 × 532.10
  4. Step 4: Simplify right side
    951.81x = 698,837.61
  5. Step 5: Solve for x
    x = 698,837.61/951.81
  6. Step 6: Final answer
    x = 734.22

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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.