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Finding the Fourth Proportional to 1,498.85, 2,247.60 and 574.10

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Solution

The fourth proportional to 1,498.85, 2,247.60 and 574.10 is: 860.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.85 : 2,247.60 = 574.10 : x
  2. Step 2: Convert to fraction form
    1,498.85/2,247.60 = 574.10/x
  3. Step 3: Cross multiply
    1,498.85x = 2,247.60 × 574.10
  4. Step 4: Simplify right side
    1,498.85x = 1,290,347.16
  5. Step 5: Solve for x
    x = 1,290,347.16/1,498.85
  6. Step 6: Final answer
    x = 860.89

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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.