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Finding the Fourth Proportional to 952.38, 1,314.32 and 532.72

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Solution

The fourth proportional to 952.38, 1,314.32 and 532.72 is: 735.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.38 : 1,314.32 = 532.72 : x
  2. Step 2: Convert to fraction form
    952.38/1,314.32 = 532.72/x
  3. Step 3: Cross multiply
    952.38x = 1,314.32 × 532.72
  4. Step 4: Simplify right side
    952.38x = 700,164.55
  5. Step 5: Solve for x
    x = 700,164.55/952.38
  6. Step 6: Final answer
    x = 735.17

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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.