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Finding the Fourth Proportional to 982.62, 1,470.50 and 709.26

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Solution

The fourth proportional to 982.62, 1,470.50 and 709.26 is: 1,061.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.62 : 1,470.50 = 709.26 : x
  2. Step 2: Convert to fraction form
    982.62/1,470.50 = 709.26/x
  3. Step 3: Cross multiply
    982.62x = 1,470.50 × 709.26
  4. Step 4: Simplify right side
    982.62x = 1,042,966.83
  5. Step 5: Solve for x
    x = 1,042,966.83/982.62
  6. Step 6: Final answer
    x = 1,061.41

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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.