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Finding the Fourth Proportional to 864.88, 1,193.43 and 616.71

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Solution

The fourth proportional to 864.88, 1,193.43 and 616.71 is: 851.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.88 : 1,193.43 = 616.71 : x
  2. Step 2: Convert to fraction form
    864.88/1,193.43 = 616.71/x
  3. Step 3: Cross multiply
    864.88x = 1,193.43 × 616.71
  4. Step 4: Simplify right side
    864.88x = 736,007.00
  5. Step 5: Solve for x
    x = 736,007.00/864.88
  6. Step 6: Final answer
    x = 851.00

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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.