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Finding the Fourth Proportional to 1,301.98, 1,951.62 and 571.42

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Solution

The fourth proportional to 1,301.98, 1,951.62 and 571.42 is: 856.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.98 : 1,951.62 = 571.42 : x
  2. Step 2: Convert to fraction form
    1,301.98/1,951.62 = 571.42/x
  3. Step 3: Cross multiply
    1,301.98x = 1,951.62 × 571.42
  4. Step 4: Simplify right side
    1,301.98x = 1,115,194.70
  5. Step 5: Solve for x
    x = 1,115,194.70/1,301.98
  6. Step 6: Final answer
    x = 856.54

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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.