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Finding the Fourth Proportional to 672.12, 1,007.77 and 614.83

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Solution

The fourth proportional to 672.12, 1,007.77 and 614.83 is: 921.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.12 : 1,007.77 = 614.83 : x
  2. Step 2: Convert to fraction form
    672.12/1,007.77 = 614.83/x
  3. Step 3: Cross multiply
    672.12x = 1,007.77 × 614.83
  4. Step 4: Simplify right side
    672.12x = 619,599.12
  5. Step 5: Solve for x
    x = 619,599.12/672.12
  6. Step 6: Final answer
    x = 921.86

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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.