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Finding the Fourth Proportional to 1,488.77, 2,233.14 and 514.85

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Solution

The fourth proportional to 1,488.77, 2,233.14 and 514.85 is: 772.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.77 : 2,233.14 = 514.85 : x
  2. Step 2: Convert to fraction form
    1,488.77/2,233.14 = 514.85/x
  3. Step 3: Cross multiply
    1,488.77x = 2,233.14 × 514.85
  4. Step 4: Simplify right side
    1,488.77x = 1,149,731.59
  5. Step 5: Solve for x
    x = 1,149,731.59/1,488.77
  6. Step 6: Final answer
    x = 772.27

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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.