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Finding the Fourth Proportional to 1,400.91, 2,101.31 and 578.57

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Solution

The fourth proportional to 1,400.91, 2,101.31 and 578.57 is: 867.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.91 : 2,101.31 = 578.57 : x
  2. Step 2: Convert to fraction form
    1,400.91/2,101.31 = 578.57/x
  3. Step 3: Cross multiply
    1,400.91x = 2,101.31 × 578.57
  4. Step 4: Simplify right side
    1,400.91x = 1,215,751.12
  5. Step 5: Solve for x
    x = 1,215,751.12/1,400.91
  6. Step 6: Final answer
    x = 867.83

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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.