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Finding the Fourth Proportional to 1,334.14, 2,001.79 and 717.13

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Solution

The fourth proportional to 1,334.14, 2,001.79 and 717.13 is: 1,076.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.14 : 2,001.79 = 717.13 : x
  2. Step 2: Convert to fraction form
    1,334.14/2,001.79 = 717.13/x
  3. Step 3: Cross multiply
    1,334.14x = 2,001.79 × 717.13
  4. Step 4: Simplify right side
    1,334.14x = 1,435,543.66
  5. Step 5: Solve for x
    x = 1,435,543.66/1,334.14
  6. Step 6: Final answer
    x = 1,076.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.