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Finding the Fourth Proportional to 982.88, 1,356.95 and 610.07

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Solution

The fourth proportional to 982.88, 1,356.95 and 610.07 is: 842.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.88 : 1,356.95 = 610.07 : x
  2. Step 2: Convert to fraction form
    982.88/1,356.95 = 610.07/x
  3. Step 3: Cross multiply
    982.88x = 1,356.95 × 610.07
  4. Step 4: Simplify right side
    982.88x = 827,832.92
  5. Step 5: Solve for x
    x = 827,832.92/982.88
  6. Step 6: Final answer
    x = 842.25

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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.