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Finding the Fourth Proportional to 980.64, 1,470.69 and 287.34

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Solution

The fourth proportional to 980.64, 1,470.69 and 287.34 is: 430.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.64 : 1,470.69 = 287.34 : x
  2. Step 2: Convert to fraction form
    980.64/1,470.69 = 287.34/x
  3. Step 3: Cross multiply
    980.64x = 1,470.69 × 287.34
  4. Step 4: Simplify right side
    980.64x = 422,586.63
  5. Step 5: Solve for x
    x = 422,586.63/980.64
  6. Step 6: Final answer
    x = 430.93

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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.