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Finding the Fourth Proportional to 974.78, 1,345.22 and 532.71

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Solution

The fourth proportional to 974.78, 1,345.22 and 532.71 is: 735.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.78 : 1,345.22 = 532.71 : x
  2. Step 2: Convert to fraction form
    974.78/1,345.22 = 532.71/x
  3. Step 3: Cross multiply
    974.78x = 1,345.22 × 532.71
  4. Step 4: Simplify right side
    974.78x = 716,612.15
  5. Step 5: Solve for x
    x = 716,612.15/974.78
  6. Step 6: Final answer
    x = 735.15

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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.