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Finding the Fourth Proportional to 681.72, 1,020.18 and 586.68

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Solution

The fourth proportional to 681.72, 1,020.18 and 586.68 is: 877.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.72 : 1,020.18 = 586.68 : x
  2. Step 2: Convert to fraction form
    681.72/1,020.18 = 586.68/x
  3. Step 3: Cross multiply
    681.72x = 1,020.18 × 586.68
  4. Step 4: Simplify right side
    681.72x = 598,519.20
  5. Step 5: Solve for x
    x = 598,519.20/681.72
  6. Step 6: Final answer
    x = 877.95

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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.