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Finding the Fourth Proportional to 937.24, 1,293.66 and 564.23

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Solution

The fourth proportional to 937.24, 1,293.66 and 564.23 is: 778.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.24 : 1,293.66 = 564.23 : x
  2. Step 2: Convert to fraction form
    937.24/1,293.66 = 564.23/x
  3. Step 3: Cross multiply
    937.24x = 1,293.66 × 564.23
  4. Step 4: Simplify right side
    937.24x = 729,925.02
  5. Step 5: Solve for x
    x = 729,925.02/937.24
  6. Step 6: Final answer
    x = 778.80

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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.