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Finding the Fourth Proportional to 565.72, 782.64 and 553.48

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Solution

The fourth proportional to 565.72, 782.64 and 553.48 is: 765.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.72 : 782.64 = 553.48 : x
  2. Step 2: Convert to fraction form
    565.72/782.64 = 553.48/x
  3. Step 3: Cross multiply
    565.72x = 782.64 × 553.48
  4. Step 4: Simplify right side
    565.72x = 433,175.59
  5. Step 5: Solve for x
    x = 433,175.59/565.72
  6. Step 6: Final answer
    x = 765.71

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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.