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Finding the Fourth Proportional to 864.20, 1,192.43 and 565.31

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Solution

The fourth proportional to 864.20, 1,192.43 and 565.31 is: 780.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.20 : 1,192.43 = 565.31 : x
  2. Step 2: Convert to fraction form
    864.20/1,192.43 = 565.31/x
  3. Step 3: Cross multiply
    864.20x = 1,192.43 × 565.31
  4. Step 4: Simplify right side
    864.20x = 674,097.00
  5. Step 5: Solve for x
    x = 674,097.00/864.20
  6. Step 6: Final answer
    x = 780.02

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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.