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Finding the Fourth Proportional to 974.10, 1,344.25 and 532.00

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Solution

The fourth proportional to 974.10, 1,344.25 and 532.00 is: 734.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.10 : 1,344.25 = 532.00 : x
  2. Step 2: Convert to fraction form
    974.10/1,344.25 = 532.00/x
  3. Step 3: Cross multiply
    974.10x = 1,344.25 × 532.00
  4. Step 4: Simplify right side
    974.10x = 715,136.31
  5. Step 5: Solve for x
    x = 715,136.31/974.10
  6. Step 6: Final answer
    x = 734.15

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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.