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Finding the Fourth Proportional to 1,308.85, 1,806.20 and 749.31

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Solution

The fourth proportional to 1,308.85, 1,806.20 and 749.31 is: 1,034.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.85 : 1,806.20 = 749.31 : x
  2. Step 2: Convert to fraction form
    1,308.85/1,806.20 = 749.31/x
  3. Step 3: Cross multiply
    1,308.85x = 1,806.20 × 749.31
  4. Step 4: Simplify right side
    1,308.85x = 1,353,403.72
  5. Step 5: Solve for x
    x = 1,353,403.72/1,308.85
  6. Step 6: Final answer
    x = 1,034.04

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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.