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Finding the Fourth Proportional to 681.60, 940.68 and 542.82

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Solution

The fourth proportional to 681.60, 940.68 and 542.82 is: 749.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.60 : 940.68 = 542.82 : x
  2. Step 2: Convert to fraction form
    681.60/940.68 = 542.82/x
  3. Step 3: Cross multiply
    681.60x = 940.68 × 542.82
  4. Step 4: Simplify right side
    681.60x = 510,619.92
  5. Step 5: Solve for x
    x = 510,619.92/681.60
  6. Step 6: Final answer
    x = 749.15

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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.