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Finding the Fourth Proportional to 980, 1,470.54 and 467

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Solution

The fourth proportional to 980, 1,470.54 and 467 is: 700.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    980 : 1,470.54 = 467 : x
  2. Step 2: Convert to fraction form
    980/1,470.54 = 467/x
  3. Step 3: Cross multiply
    980x = 1,470.54 × 467
  4. Step 4: Simplify right side
    980x = 686,742.18
  5. Step 5: Solve for x
    x = 686,742.18/980
  6. Step 6: Final answer
    x = 700.76

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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.