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Finding the Fourth Proportional to 1,486.32, 2,229.30 and 499.14

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Solution

The fourth proportional to 1,486.32, 2,229.30 and 499.14 is: 748.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.32 : 2,229.30 = 499.14 : x
  2. Step 2: Convert to fraction form
    1,486.32/2,229.30 = 499.14/x
  3. Step 3: Cross multiply
    1,486.32x = 2,229.30 × 499.14
  4. Step 4: Simplify right side
    1,486.32x = 1,112,732.80
  5. Step 5: Solve for x
    x = 1,112,732.80/1,486.32
  6. Step 6: Final answer
    x = 748.65

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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.