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Finding the Fourth Proportional to 1,404.38, 2,103.76 and 699.47

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Solution

The fourth proportional to 1,404.38, 2,103.76 and 699.47 is: 1,047.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.38 : 2,103.76 = 699.47 : x
  2. Step 2: Convert to fraction form
    1,404.38/2,103.76 = 699.47/x
  3. Step 3: Cross multiply
    1,404.38x = 2,103.76 × 699.47
  4. Step 4: Simplify right side
    1,404.38x = 1,471,508.25
  5. Step 5: Solve for x
    x = 1,471,508.25/1,404.38
  6. Step 6: Final answer
    x = 1,047.80

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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.