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Finding the Fourth Proportional to 1,512.20, 2,267.68 and 471.85

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Solution

The fourth proportional to 1,512.20, 2,267.68 and 471.85 is: 707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.20 : 2,267.68 = 471.85 : x
  2. Step 2: Convert to fraction form
    1,512.20/2,267.68 = 471.85/x
  3. Step 3: Cross multiply
    1,512.20x = 2,267.68 × 471.85
  4. Step 4: Simplify right side
    1,512.20x = 1,070,002.45
  5. Step 5: Solve for x
    x = 1,070,002.45/1,512.20
  6. Step 6: Final answer
    x = 707.58

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