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Finding the Fourth Proportional to 1,498.23, 2,247.21 and 574.38

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Solution

The fourth proportional to 1,498.23, 2,247.21 and 574.38 is: 861.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.23 : 2,247.21 = 574.38 : x
  2. Step 2: Convert to fraction form
    1,498.23/2,247.21 = 574.38/x
  3. Step 3: Cross multiply
    1,498.23x = 2,247.21 × 574.38
  4. Step 4: Simplify right side
    1,498.23x = 1,290,752.48
  5. Step 5: Solve for x
    x = 1,290,752.48/1,498.23
  6. Step 6: Final answer
    x = 861.52

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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.