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Finding the Fourth Proportional to 980.20, 1,470.30 and 597.16

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Solution

The fourth proportional to 980.20, 1,470.30 and 597.16 is: 895.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.20 : 1,470.30 = 597.16 : x
  2. Step 2: Convert to fraction form
    980.20/1,470.30 = 597.16/x
  3. Step 3: Cross multiply
    980.20x = 1,470.30 × 597.16
  4. Step 4: Simplify right side
    980.20x = 878,004.35
  5. Step 5: Solve for x
    x = 878,004.35/980.20
  6. Step 6: Final answer
    x = 895.74

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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.