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Finding the Fourth Proportional to 937.17, 1,293.03 and 564.30

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Solution

The fourth proportional to 937.17, 1,293.03 and 564.30 is: 778.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.17 : 1,293.03 = 564.30 : x
  2. Step 2: Convert to fraction form
    937.17/1,293.03 = 564.30/x
  3. Step 3: Cross multiply
    937.17x = 1,293.03 × 564.30
  4. Step 4: Simplify right side
    937.17x = 729,656.83
  5. Step 5: Solve for x
    x = 729,656.83/937.17
  6. Step 6: Final answer
    x = 778.57

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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.