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Finding the Fourth Proportional to 1,376.64, 2,065.37 and 499.14

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Solution

The fourth proportional to 1,376.64, 2,065.37 and 499.14 is: 748.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.64 : 2,065.37 = 499.14 : x
  2. Step 2: Convert to fraction form
    1,376.64/2,065.37 = 499.14/x
  3. Step 3: Cross multiply
    1,376.64x = 2,065.37 × 499.14
  4. Step 4: Simplify right side
    1,376.64x = 1,030,906.29
  5. Step 5: Solve for x
    x = 1,030,906.29/1,376.64
  6. Step 6: Final answer
    x = 748.86

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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.