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Finding the Fourth Proportional to 1,115.25, 1,672.26 and 498.33

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Solution

The fourth proportional to 1,115.25, 1,672.26 and 498.33 is: 747.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.25 : 1,672.26 = 498.33 : x
  2. Step 2: Convert to fraction form
    1,115.25/1,672.26 = 498.33/x
  3. Step 3: Cross multiply
    1,115.25x = 1,672.26 × 498.33
  4. Step 4: Simplify right side
    1,115.25x = 833,337.33
  5. Step 5: Solve for x
    x = 833,337.33/1,115.25
  6. Step 6: Final answer
    x = 747.22

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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.