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Finding the Fourth Proportional to 1,301.96, 1,951.63 and 571.41

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Solution

The fourth proportional to 1,301.96, 1,951.63 and 571.41 is: 856.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.96 : 1,951.63 = 571.41 : x
  2. Step 2: Convert to fraction form
    1,301.96/1,951.63 = 571.41/x
  3. Step 3: Cross multiply
    1,301.96x = 1,951.63 × 571.41
  4. Step 4: Simplify right side
    1,301.96x = 1,115,179.47
  5. Step 5: Solve for x
    x = 1,115,179.47/1,301.96
  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.