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Finding the Fourth Proportional to 937.32, 1,292.97 and 564.13

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Solution

The fourth proportional to 937.32, 1,292.97 and 564.13 is: 778.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.32 : 1,292.97 = 564.13 : x
  2. Step 2: Convert to fraction form
    937.32/1,292.97 = 564.13/x
  3. Step 3: Cross multiply
    937.32x = 1,292.97 × 564.13
  4. Step 4: Simplify right side
    937.32x = 729,403.17
  5. Step 5: Solve for x
    x = 729,403.17/937.32
  6. Step 6: Final answer
    x = 778.18

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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.