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Finding the Fourth Proportional to 1,376.74, 2,065.14 and 499.31

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Solution

The fourth proportional to 1,376.74, 2,065.14 and 499.31 is: 748.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.74 : 2,065.14 = 499.31 : x
  2. Step 2: Convert to fraction form
    1,376.74/2,065.14 = 499.31/x
  3. Step 3: Cross multiply
    1,376.74x = 2,065.14 × 499.31
  4. Step 4: Simplify right side
    1,376.74x = 1,031,145.05
  5. Step 5: Solve for x
    x = 1,031,145.05/1,376.74
  6. Step 6: Final answer
    x = 748.98

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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.