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Finding the Fourth Proportional to 1,365.44, 2,046.36 and 498.92

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Solution

The fourth proportional to 1,365.44, 2,046.36 and 498.92 is: 747.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.44 : 2,046.36 = 498.92 : x
  2. Step 2: Convert to fraction form
    1,365.44/2,046.36 = 498.92/x
  3. Step 3: Cross multiply
    1,365.44x = 2,046.36 × 498.92
  4. Step 4: Simplify right side
    1,365.44x = 1,020,969.93
  5. Step 5: Solve for x
    x = 1,020,969.93/1,365.44
  6. Step 6: Final answer
    x = 747.72

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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.