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Finding the Fourth Proportional to 1,240.68, 1,712.10 and 681.12

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Solution

The fourth proportional to 1,240.68, 1,712.10 and 681.12 is: 939.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.68 : 1,712.10 = 681.12 : x
  2. Step 2: Convert to fraction form
    1,240.68/1,712.10 = 681.12/x
  3. Step 3: Cross multiply
    1,240.68x = 1,712.10 × 681.12
  4. Step 4: Simplify right side
    1,240.68x = 1,166,145.55
  5. Step 5: Solve for x
    x = 1,166,145.55/1,240.68
  6. Step 6: Final answer
    x = 939.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.