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Finding the Fourth Proportional to 1,041.20, 1,561.96 and 391.92

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Solution

The fourth proportional to 1,041.20, 1,561.96 and 391.92 is: 587.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.20 : 1,561.96 = 391.92 : x
  2. Step 2: Convert to fraction form
    1,041.20/1,561.96 = 391.92/x
  3. Step 3: Cross multiply
    1,041.20x = 1,561.96 × 391.92
  4. Step 4: Simplify right side
    1,041.20x = 612,163.36
  5. Step 5: Solve for x
    x = 612,163.36/1,041.20
  6. Step 6: Final answer
    x = 587.94

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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.