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Finding the Fourth Proportional to 613.80, 921.06 and 587.70

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Solution

The fourth proportional to 613.80, 921.06 and 587.70 is: 881.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.80 : 921.06 = 587.70 : x
  2. Step 2: Convert to fraction form
    613.80/921.06 = 587.70/x
  3. Step 3: Cross multiply
    613.80x = 921.06 × 587.70
  4. Step 4: Simplify right side
    613.80x = 541,306.96
  5. Step 5: Solve for x
    x = 541,306.96/613.80
  6. Step 6: Final answer
    x = 881.89

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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.