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Finding the Fourth Proportional to 567.66, 781.74 and 565.98

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Solution

The fourth proportional to 567.66, 781.74 and 565.98 is: 779.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.66 : 781.74 = 565.98 : x
  2. Step 2: Convert to fraction form
    567.66/781.74 = 565.98/x
  3. Step 3: Cross multiply
    567.66x = 781.74 × 565.98
  4. Step 4: Simplify right side
    567.66x = 442,449.21
  5. Step 5: Solve for x
    x = 442,449.21/567.66
  6. Step 6: Final answer
    x = 779.43

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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.