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Finding the Fourth Proportional to 1,078.72, 1,610.72 and 1,009.04

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Solution

The fourth proportional to 1,078.72, 1,610.72 and 1,009.04 is: 1,506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.72 : 1,610.72 = 1,009.04 : x
  2. Step 2: Convert to fraction form
    1,078.72/1,610.72 = 1,009.04/x
  3. Step 3: Cross multiply
    1,078.72x = 1,610.72 × 1,009.04
  4. Step 4: Simplify right side
    1,078.72x = 1,625,280.91
  5. Step 5: Solve for x
    x = 1,625,280.91/1,078.72
  6. Step 6: Final answer
    x = 1,506.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.