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Finding the Fourth Proportional to 952.30, 1,314.13 and 532.68

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Solution

The fourth proportional to 952.30, 1,314.13 and 532.68 is: 735.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.30 : 1,314.13 = 532.68 : x
  2. Step 2: Convert to fraction form
    952.30/1,314.13 = 532.68/x
  3. Step 3: Cross multiply
    952.30x = 1,314.13 × 532.68
  4. Step 4: Simplify right side
    952.30x = 700,010.77
  5. Step 5: Solve for x
    x = 700,010.77/952.30
  6. Step 6: Final answer
    x = 735.07

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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.