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Finding the Fourth Proportional to 1,513.16, 2,269.48 and 691.24

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Solution

The fourth proportional to 1,513.16, 2,269.48 and 691.24 is: 1,036.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.16 : 2,269.48 = 691.24 : x
  2. Step 2: Convert to fraction form
    1,513.16/2,269.48 = 691.24/x
  3. Step 3: Cross multiply
    1,513.16x = 2,269.48 × 691.24
  4. Step 4: Simplify right side
    1,513.16x = 1,568,755.36
  5. Step 5: Solve for x
    x = 1,568,755.36/1,513.16
  6. Step 6: Final answer
    x = 1,036.74

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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.