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Finding the Fourth Proportional to 1,391.43, 2,087.16 and 569.79

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Solution

The fourth proportional to 1,391.43, 2,087.16 and 569.79 is: 854.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.43 : 2,087.16 = 569.79 : x
  2. Step 2: Convert to fraction form
    1,391.43/2,087.16 = 569.79/x
  3. Step 3: Cross multiply
    1,391.43x = 2,087.16 × 569.79
  4. Step 4: Simplify right side
    1,391.43x = 1,189,234.83
  5. Step 5: Solve for x
    x = 1,189,234.83/1,391.43
  6. Step 6: Final answer
    x = 854.69

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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.