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Finding the Fourth Proportional to 974.16, 1,344.39 and 532.05

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Solution

The fourth proportional to 974.16, 1,344.39 and 532.05 is: 734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.16 : 1,344.39 = 532.05 : x
  2. Step 2: Convert to fraction form
    974.16/1,344.39 = 532.05/x
  3. Step 3: Cross multiply
    974.16x = 1,344.39 × 532.05
  4. Step 4: Simplify right side
    974.16x = 715,282.70
  5. Step 5: Solve for x
    x = 715,282.70/974.16
  6. Step 6: Final answer
    x = 734.26

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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.