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Finding the Fourth Proportional to 1,377.14, 2,065.90 and 403.10

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Solution

The fourth proportional to 1,377.14, 2,065.90 and 403.10 is: 604.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.14 : 2,065.90 = 403.10 : x
  2. Step 2: Convert to fraction form
    1,377.14/2,065.90 = 403.10/x
  3. Step 3: Cross multiply
    1,377.14x = 2,065.90 × 403.10
  4. Step 4: Simplify right side
    1,377.14x = 832,764.29
  5. Step 5: Solve for x
    x = 832,764.29/1,377.14
  6. Step 6: Final answer
    x = 604.71

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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.