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Finding the Fourth Proportional to 691.02, 952.82 and 564.80

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Solution

The fourth proportional to 691.02, 952.82 and 564.80 is: 778.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.02 : 952.82 = 564.80 : x
  2. Step 2: Convert to fraction form
    691.02/952.82 = 564.80/x
  3. Step 3: Cross multiply
    691.02x = 952.82 × 564.80
  4. Step 4: Simplify right side
    691.02x = 538,152.74
  5. Step 5: Solve for x
    x = 538,152.74/691.02
  6. Step 6: Final answer
    x = 778.78

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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.