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Finding the Fourth Proportional to 1,498.73, 2,248.56 and 562.16

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Solution

The fourth proportional to 1,498.73, 2,248.56 and 562.16 is: 843.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.73 : 2,248.56 = 562.16 : x
  2. Step 2: Convert to fraction form
    1,498.73/2,248.56 = 562.16/x
  3. Step 3: Cross multiply
    1,498.73x = 2,248.56 × 562.16
  4. Step 4: Simplify right side
    1,498.73x = 1,264,039.25
  5. Step 5: Solve for x
    x = 1,264,039.25/1,498.73
  6. Step 6: Final answer
    x = 843.41

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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.