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Finding the Fourth Proportional to 937.60, 1,293.64 and 564.50

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Solution

The fourth proportional to 937.60, 1,293.64 and 564.50 is: 778.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.60 : 1,293.64 = 564.50 : x
  2. Step 2: Convert to fraction form
    937.60/1,293.64 = 564.50/x
  3. Step 3: Cross multiply
    937.60x = 1,293.64 × 564.50
  4. Step 4: Simplify right side
    937.60x = 730,261.60
  5. Step 5: Solve for x
    x = 730,261.60/937.60
  6. Step 6: Final answer
    x = 778.86

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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.