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Finding the Fourth Proportional to 772.24, 1,065.96 and 565.52

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Solution

The fourth proportional to 772.24, 1,065.96 and 565.52 is: 780.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.24 : 1,065.96 = 565.52 : x
  2. Step 2: Convert to fraction form
    772.24/1,065.96 = 565.52/x
  3. Step 3: Cross multiply
    772.24x = 1,065.96 × 565.52
  4. Step 4: Simplify right side
    772.24x = 602,821.70
  5. Step 5: Solve for x
    x = 602,821.70/772.24
  6. Step 6: Final answer
    x = 780.61

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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.