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Finding the Fourth Proportional to 982.29, 1,355.45 and 562.70

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Solution

The fourth proportional to 982.29, 1,355.45 and 562.70 is: 776.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.29 : 1,355.45 = 562.70 : x
  2. Step 2: Convert to fraction form
    982.29/1,355.45 = 562.70/x
  3. Step 3: Cross multiply
    982.29x = 1,355.45 × 562.70
  4. Step 4: Simplify right side
    982.29x = 762,711.72
  5. Step 5: Solve for x
    x = 762,711.72/982.29
  6. Step 6: Final answer
    x = 776.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.