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Finding the Fourth Proportional to 1,481.76, 2,223.18 and 750.74

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Solution

The fourth proportional to 1,481.76, 2,223.18 and 750.74 is: 1,126.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.76 : 2,223.18 = 750.74 : x
  2. Step 2: Convert to fraction form
    1,481.76/2,223.18 = 750.74/x
  3. Step 3: Cross multiply
    1,481.76x = 2,223.18 × 750.74
  4. Step 4: Simplify right side
    1,481.76x = 1,669,019.04
  5. Step 5: Solve for x
    x = 1,669,019.04/1,481.76
  6. Step 6: Final answer
    x = 1,126.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.