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Finding the Fourth Proportional to 980.92, 1,471.74 and 433.72

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Solution

The fourth proportional to 980.92, 1,471.74 and 433.72 is: 650.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.92 : 1,471.74 = 433.72 : x
  2. Step 2: Convert to fraction form
    980.92/1,471.74 = 433.72/x
  3. Step 3: Cross multiply
    980.92x = 1,471.74 × 433.72
  4. Step 4: Simplify right side
    980.92x = 638,323.07
  5. Step 5: Solve for x
    x = 638,323.07/980.92
  6. Step 6: Final answer
    x = 650.74

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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.