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Finding the Fourth Proportional to 1,520.24, 2,278.92 and 654

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Solution

The fourth proportional to 1,520.24, 2,278.92 and 654 is: 980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.24 : 2,278.92 = 654 : x
  2. Step 2: Convert to fraction form
    1,520.24/2,278.92 = 654/x
  3. Step 3: Cross multiply
    1,520.24x = 2,278.92 × 654
  4. Step 4: Simplify right side
    1,520.24x = 1,490,413.68
  5. Step 5: Solve for x
    x = 1,490,413.68/1,520.24
  6. Step 6: Final answer
    x = 980.38

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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.