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Finding the Fourth Proportional to 1,377.13, 2,065.82 and 452.69

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Solution

The fourth proportional to 1,377.13, 2,065.82 and 452.69 is: 679.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.13 : 2,065.82 = 452.69 : x
  2. Step 2: Convert to fraction form
    1,377.13/2,065.82 = 452.69/x
  3. Step 3: Cross multiply
    1,377.13x = 2,065.82 × 452.69
  4. Step 4: Simplify right side
    1,377.13x = 935,176.06
  5. Step 5: Solve for x
    x = 935,176.06/1,377.13
  6. Step 6: Final answer
    x = 679.08

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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.