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Finding the Fourth Proportional to 1,309.15, 1,806.65 and 749.62

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Solution

The fourth proportional to 1,309.15, 1,806.65 and 749.62 is: 1,034.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.15 : 1,806.65 = 749.62 : x
  2. Step 2: Convert to fraction form
    1,309.15/1,806.65 = 749.62/x
  3. Step 3: Cross multiply
    1,309.15x = 1,806.65 × 749.62
  4. Step 4: Simplify right side
    1,309.15x = 1,354,300.97
  5. Step 5: Solve for x
    x = 1,354,300.97/1,309.15
  6. Step 6: Final answer
    x = 1,034.49

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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.