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Finding the Fourth Proportional to 1,488.12, 2,053.68 and 825

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Solution

The fourth proportional to 1,488.12, 2,053.68 and 825 is: 1,138.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.12 : 2,053.68 = 825 : x
  2. Step 2: Convert to fraction form
    1,488.12/2,053.68 = 825/x
  3. Step 3: Cross multiply
    1,488.12x = 2,053.68 × 825
  4. Step 4: Simplify right side
    1,488.12x = 1,694,286.00
  5. Step 5: Solve for x
    x = 1,694,286.00/1,488.12
  6. Step 6: Final answer
    x = 1,138.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.