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Finding the Fourth Proportional to 1,404.80, 2,107.20 and 748.70

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Solution

The fourth proportional to 1,404.80, 2,107.20 and 748.70 is: 1,123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.80 : 2,107.20 = 748.70 : x
  2. Step 2: Convert to fraction form
    1,404.80/2,107.20 = 748.70/x
  3. Step 3: Cross multiply
    1,404.80x = 2,107.20 × 748.70
  4. Step 4: Simplify right side
    1,404.80x = 1,577,660.64
  5. Step 5: Solve for x
    x = 1,577,660.64/1,404.80
  6. Step 6: Final answer
    x = 1,123.05

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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.