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Finding the Fourth Proportional to 1,309.43, 1,807.04 and 749.79

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Solution

The fourth proportional to 1,309.43, 1,807.04 and 749.79 is: 1,034.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.43 : 1,807.04 = 749.79 : x
  2. Step 2: Convert to fraction form
    1,309.43/1,807.04 = 749.79/x
  3. Step 3: Cross multiply
    1,309.43x = 1,807.04 × 749.79
  4. Step 4: Simplify right side
    1,309.43x = 1,354,902.40
  5. Step 5: Solve for x
    x = 1,354,902.40/1,309.43
  6. Step 6: Final answer
    x = 1,034.72

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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.