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Finding the Fourth Proportional to 974.47, 1,344.75 and 532.37

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Solution

The fourth proportional to 974.47, 1,344.75 and 532.37 is: 734.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.47 : 1,344.75 = 532.37 : x
  2. Step 2: Convert to fraction form
    974.47/1,344.75 = 532.37/x
  3. Step 3: Cross multiply
    974.47x = 1,344.75 × 532.37
  4. Step 4: Simplify right side
    974.47x = 715,904.56
  5. Step 5: Solve for x
    x = 715,904.56/974.47
  6. Step 6: Final answer
    x = 734.66

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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.