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Finding the Fourth Proportional to 937.77, 1,294.34 and 564.56

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Solution

The fourth proportional to 937.77, 1,294.34 and 564.56 is: 779.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.77 : 1,294.34 = 564.56 : x
  2. Step 2: Convert to fraction form
    937.77/1,294.34 = 564.56/x
  3. Step 3: Cross multiply
    937.77x = 1,294.34 × 564.56
  4. Step 4: Simplify right side
    937.77x = 730,732.59
  5. Step 5: Solve for x
    x = 730,732.59/937.77
  6. Step 6: Final answer
    x = 779.22

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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.