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Finding the Fourth Proportional to 1,666.28, 2,498.55 and 496.13

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Solution

The fourth proportional to 1,666.28, 2,498.55 and 496.13 is: 743.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.28 : 2,498.55 = 496.13 : x
  2. Step 2: Convert to fraction form
    1,666.28/2,498.55 = 496.13/x
  3. Step 3: Cross multiply
    1,666.28x = 2,498.55 × 496.13
  4. Step 4: Simplify right side
    1,666.28x = 1,239,593.12
  5. Step 5: Solve for x
    x = 1,239,593.12/1,666.28
  6. Step 6: Final answer
    x = 743.93

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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.