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Finding the Fourth Proportional to 1,513.71, 2,267.97 and 732.63

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Solution

The fourth proportional to 1,513.71, 2,267.97 and 732.63 is: 1,097.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.71 : 2,267.97 = 732.63 : x
  2. Step 2: Convert to fraction form
    1,513.71/2,267.97 = 732.63/x
  3. Step 3: Cross multiply
    1,513.71x = 2,267.97 × 732.63
  4. Step 4: Simplify right side
    1,513.71x = 1,661,589.72
  5. Step 5: Solve for x
    x = 1,661,589.72/1,513.71
  6. Step 6: Final answer
    x = 1,097.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.