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Finding the Fourth Proportional to 1,308.08, 1,805.03 and 748.45

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Solution

The fourth proportional to 1,308.08, 1,805.03 and 748.45 is: 1,032.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.08 : 1,805.03 = 748.45 : x
  2. Step 2: Convert to fraction form
    1,308.08/1,805.03 = 748.45/x
  3. Step 3: Cross multiply
    1,308.08x = 1,805.03 × 748.45
  4. Step 4: Simplify right side
    1,308.08x = 1,350,974.70
  5. Step 5: Solve for x
    x = 1,350,974.70/1,308.08
  6. Step 6: Final answer
    x = 1,032.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.