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Finding the Fourth Proportional to 684.38, 1,024.52 and 574.12

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Solution

The fourth proportional to 684.38, 1,024.52 and 574.12 is: 859.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.38 : 1,024.52 = 574.12 : x
  2. Step 2: Convert to fraction form
    684.38/1,024.52 = 574.12/x
  3. Step 3: Cross multiply
    684.38x = 1,024.52 × 574.12
  4. Step 4: Simplify right side
    684.38x = 588,195.83
  5. Step 5: Solve for x
    x = 588,195.83/684.38
  6. Step 6: Final answer
    x = 859.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.