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Finding the Fourth Proportional to 980.25, 1,470.14 and 286.75

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Solution

The fourth proportional to 980.25, 1,470.14 and 286.75 is: 430.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.25 : 1,470.14 = 286.75 : x
  2. Step 2: Convert to fraction form
    980.25/1,470.14 = 286.75/x
  3. Step 3: Cross multiply
    980.25x = 1,470.14 × 286.75
  4. Step 4: Simplify right side
    980.25x = 421,562.65
  5. Step 5: Solve for x
    x = 421,562.65/980.25
  6. Step 6: Final answer
    x = 430.06

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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.