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Finding the Fourth Proportional to 982.46, 1,355.99 and 563.10

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Solution

The fourth proportional to 982.46, 1,355.99 and 563.10 is: 777.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.46 : 1,355.99 = 563.10 : x
  2. Step 2: Convert to fraction form
    982.46/1,355.99 = 563.10/x
  3. Step 3: Cross multiply
    982.46x = 1,355.99 × 563.10
  4. Step 4: Simplify right side
    982.46x = 763,559.38
  5. Step 5: Solve for x
    x = 763,559.38/982.46
  6. Step 6: Final answer
    x = 777.19

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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.