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Finding the Fourth Proportional to 672.30, 925.83 and 616.86

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Solution

The fourth proportional to 672.30, 925.83 and 616.86 is: 849.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.30 : 925.83 = 616.86 : x
  2. Step 2: Convert to fraction form
    672.30/925.83 = 616.86/x
  3. Step 3: Cross multiply
    672.30x = 925.83 × 616.86
  4. Step 4: Simplify right side
    672.30x = 571,107.49
  5. Step 5: Solve for x
    x = 571,107.49/672.30
  6. Step 6: Final answer
    x = 849.48

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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.