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Finding the Fourth Proportional to 640.57, 877.59 and 616.58

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Solution

The fourth proportional to 640.57, 877.59 and 616.58 is: 844.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.57 : 877.59 = 616.58 : x
  2. Step 2: Convert to fraction form
    640.57/877.59 = 616.58/x
  3. Step 3: Cross multiply
    640.57x = 877.59 × 616.58
  4. Step 4: Simplify right side
    640.57x = 541,102.52
  5. Step 5: Solve for x
    x = 541,102.52/640.57
  6. Step 6: Final answer
    x = 844.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.