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Finding the Fourth Proportional to 980, 1,470.01 and 459.71

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Solution

The fourth proportional to 980, 1,470.01 and 459.71 is: 689.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    980 : 1,470.01 = 459.71 : x
  2. Step 2: Convert to fraction form
    980/1,470.01 = 459.71/x
  3. Step 3: Cross multiply
    980x = 1,470.01 × 459.71
  4. Step 4: Simplify right side
    980x = 675,778.30
  5. Step 5: Solve for x
    x = 675,778.30/980
  6. Step 6: Final answer
    x = 689.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.