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Finding the Fourth Proportional to 974.47, 1,463.91 and 564.61

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Solution

The fourth proportional to 974.47, 1,463.91 and 564.61 is: 848.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.47 : 1,463.91 = 564.61 : x
  2. Step 2: Convert to fraction form
    974.47/1,463.91 = 564.61/x
  3. Step 3: Cross multiply
    974.47x = 1,463.91 × 564.61
  4. Step 4: Simplify right side
    974.47x = 826,528.08
  5. Step 5: Solve for x
    x = 826,528.08/974.47
  6. Step 6: Final answer
    x = 848.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.