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Finding the Fourth Proportional to 1,404.33, 2,107.77 and 711.46

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Solution

The fourth proportional to 1,404.33, 2,107.77 and 711.46 is: 1,067.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.33 : 2,107.77 = 711.46 : x
  2. Step 2: Convert to fraction form
    1,404.33/2,107.77 = 711.46/x
  3. Step 3: Cross multiply
    1,404.33x = 2,107.77 × 711.46
  4. Step 4: Simplify right side
    1,404.33x = 1,499,594.04
  5. Step 5: Solve for x
    x = 1,499,594.04/1,404.33
  6. Step 6: Final answer
    x = 1,067.84

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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.