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Finding the Fourth Proportional to 647.12, 892.24 and 565.04

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Solution

The fourth proportional to 647.12, 892.24 and 565.04 is: 779.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.12 : 892.24 = 565.04 : x
  2. Step 2: Convert to fraction form
    647.12/892.24 = 565.04/x
  3. Step 3: Cross multiply
    647.12x = 892.24 × 565.04
  4. Step 4: Simplify right side
    647.12x = 504,151.29
  5. Step 5: Solve for x
    x = 504,151.29/647.12
  6. Step 6: Final answer
    x = 779.07

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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.