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Finding the Fourth Proportional to 675.78, 932.67 and 565.08

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Solution

The fourth proportional to 675.78, 932.67 and 565.08 is: 779.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.78 : 932.67 = 565.08 : x
  2. Step 2: Convert to fraction form
    675.78/932.67 = 565.08/x
  3. Step 3: Cross multiply
    675.78x = 932.67 × 565.08
  4. Step 4: Simplify right side
    675.78x = 527,033.16
  5. Step 5: Solve for x
    x = 527,033.16/675.78
  6. Step 6: Final answer
    x = 779.89

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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.