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Finding the Fourth Proportional to 569.52, 782.91 and 565.92

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Solution

The fourth proportional to 569.52, 782.91 and 565.92 is: 777.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.52 : 782.91 = 565.92 : x
  2. Step 2: Convert to fraction form
    569.52/782.91 = 565.92/x
  3. Step 3: Cross multiply
    569.52x = 782.91 × 565.92
  4. Step 4: Simplify right side
    569.52x = 443,064.43
  5. Step 5: Solve for x
    x = 443,064.43/569.52
  6. Step 6: Final answer
    x = 777.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.