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Finding the Fourth Proportional to 974.14, 1,344.35 and 532.08

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Solution

The fourth proportional to 974.14, 1,344.35 and 532.08 is: 734.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.14 : 1,344.35 = 532.08 : x
  2. Step 2: Convert to fraction form
    974.14/1,344.35 = 532.08/x
  3. Step 3: Cross multiply
    974.14x = 1,344.35 × 532.08
  4. Step 4: Simplify right side
    974.14x = 715,301.75
  5. Step 5: Solve for x
    x = 715,301.75/974.14
  6. Step 6: Final answer
    x = 734.29

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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.