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Finding the Fourth Proportional to 1,376.80, 2,065.42 and 499.38

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Solution

The fourth proportional to 1,376.80, 2,065.42 and 499.38 is: 749.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.80 : 2,065.42 = 499.38 : x
  2. Step 2: Convert to fraction form
    1,376.80/2,065.42 = 499.38/x
  3. Step 3: Cross multiply
    1,376.80x = 2,065.42 × 499.38
  4. Step 4: Simplify right side
    1,376.80x = 1,031,429.44
  5. Step 5: Solve for x
    x = 1,031,429.44/1,376.80
  6. Step 6: Final answer
    x = 749.15

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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.