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Finding the Fourth Proportional to 1,404.67, 2,107.23 and 711.19

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Solution

The fourth proportional to 1,404.67, 2,107.23 and 711.19 is: 1,066.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.67 : 2,107.23 = 711.19 : x
  2. Step 2: Convert to fraction form
    1,404.67/2,107.23 = 711.19/x
  3. Step 3: Cross multiply
    1,404.67x = 2,107.23 × 711.19
  4. Step 4: Simplify right side
    1,404.67x = 1,498,640.90
  5. Step 5: Solve for x
    x = 1,498,640.90/1,404.67
  6. Step 6: Final answer
    x = 1,066.90

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Why These Related Problems?

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