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Finding the Fourth Proportional to 1,229.60, 1,844.36 and 498.98

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Solution

The fourth proportional to 1,229.60, 1,844.36 and 498.98 is: 748.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.60 : 1,844.36 = 498.98 : x
  2. Step 2: Convert to fraction form
    1,229.60/1,844.36 = 498.98/x
  3. Step 3: Cross multiply
    1,229.60x = 1,844.36 × 498.98
  4. Step 4: Simplify right side
    1,229.60x = 920,298.75
  5. Step 5: Solve for x
    x = 920,298.75/1,229.60
  6. Step 6: Final answer
    x = 748.45

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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.