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Finding the Fourth Proportional to 980.47, 1,470.77 and 287.16

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Solution

The fourth proportional to 980.47, 1,470.77 and 287.16 is: 430.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.47 : 1,470.77 = 287.16 : x
  2. Step 2: Convert to fraction form
    980.47/1,470.77 = 287.16/x
  3. Step 3: Cross multiply
    980.47x = 1,470.77 × 287.16
  4. Step 4: Simplify right side
    980.47x = 422,346.31
  5. Step 5: Solve for x
    x = 422,346.31/980.47
  6. Step 6: Final answer
    x = 430.76

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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.