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Finding the Fourth Proportional to 980.76, 1,471.14 and 296.76

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Solution

The fourth proportional to 980.76, 1,471.14 and 296.76 is: 445.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.76 : 1,471.14 = 296.76 : x
  2. Step 2: Convert to fraction form
    980.76/1,471.14 = 296.76/x
  3. Step 3: Cross multiply
    980.76x = 1,471.14 × 296.76
  4. Step 4: Simplify right side
    980.76x = 436,575.51
  5. Step 5: Solve for x
    x = 436,575.51/980.76
  6. Step 6: Final answer
    x = 445.14

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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.