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Finding the Fourth Proportional to 1,228.44, 1,842.65 and 498.01

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Solution

The fourth proportional to 1,228.44, 1,842.65 and 498.01 is: 747.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.44 : 1,842.65 = 498.01 : x
  2. Step 2: Convert to fraction form
    1,228.44/1,842.65 = 498.01/x
  3. Step 3: Cross multiply
    1,228.44x = 1,842.65 × 498.01
  4. Step 4: Simplify right side
    1,228.44x = 917,658.13
  5. Step 5: Solve for x
    x = 917,658.13/1,228.44
  6. Step 6: Final answer
    x = 747.01

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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.