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Finding the Fourth Proportional to 1,309.92, 1,807.61 and 750.27

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Solution

The fourth proportional to 1,309.92, 1,807.61 and 750.27 is: 1,035.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.92 : 1,807.61 = 750.27 : x
  2. Step 2: Convert to fraction form
    1,309.92/1,807.61 = 750.27/x
  3. Step 3: Cross multiply
    1,309.92x = 1,807.61 × 750.27
  4. Step 4: Simplify right side
    1,309.92x = 1,356,195.55
  5. Step 5: Solve for x
    x = 1,356,195.55/1,309.92
  6. Step 6: Final answer
    x = 1,035.33

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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.