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Finding the Fourth Proportional to 982.02, 1,470.90 and 494.22

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Solution

The fourth proportional to 982.02, 1,470.90 and 494.22 is: 740.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.02 : 1,470.90 = 494.22 : x
  2. Step 2: Convert to fraction form
    982.02/1,470.90 = 494.22/x
  3. Step 3: Cross multiply
    982.02x = 1,470.90 × 494.22
  4. Step 4: Simplify right side
    982.02x = 726,948.20
  5. Step 5: Solve for x
    x = 726,948.20/982.02
  6. Step 6: Final answer
    x = 740.26

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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.