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Finding the Fourth Proportional to 1,115.13, 1,673.48 and 498.52

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Solution

The fourth proportional to 1,115.13, 1,673.48 and 498.52 is: 748.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.13 : 1,673.48 = 498.52 : x
  2. Step 2: Convert to fraction form
    1,115.13/1,673.48 = 498.52/x
  3. Step 3: Cross multiply
    1,115.13x = 1,673.48 × 498.52
  4. Step 4: Simplify right side
    1,115.13x = 834,260.31
  5. Step 5: Solve for x
    x = 834,260.31/1,115.13
  6. Step 6: Final answer
    x = 748.13

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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.