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Finding the Fourth Proportional to 982.61, 1,356.08 and 563.09

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Solution

The fourth proportional to 982.61, 1,356.08 and 563.09 is: 777.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.61 : 1,356.08 = 563.09 : x
  2. Step 2: Convert to fraction form
    982.61/1,356.08 = 563.09/x
  3. Step 3: Cross multiply
    982.61x = 1,356.08 × 563.09
  4. Step 4: Simplify right side
    982.61x = 763,595.66
  5. Step 5: Solve for x
    x = 763,595.66/982.61
  6. Step 6: Final answer
    x = 777.11

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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.