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Finding the Fourth Proportional to 1,376.55, 2,064.96 and 499.14

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Solution

The fourth proportional to 1,376.55, 2,064.96 and 499.14 is: 748.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.55 : 2,064.96 = 499.14 : x
  2. Step 2: Convert to fraction form
    1,376.55/2,064.96 = 499.14/x
  3. Step 3: Cross multiply
    1,376.55x = 2,064.96 × 499.14
  4. Step 4: Simplify right side
    1,376.55x = 1,030,704.13
  5. Step 5: Solve for x
    x = 1,030,704.13/1,376.55
  6. Step 6: Final answer
    x = 748.76

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Why These Related Problems?

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