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Finding the Fourth Proportional to 1,229.06, 1,697.75 and 982.11

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Solution

The fourth proportional to 1,229.06, 1,697.75 and 982.11 is: 1,356.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.06 : 1,697.75 = 982.11 : x
  2. Step 2: Convert to fraction form
    1,229.06/1,697.75 = 982.11/x
  3. Step 3: Cross multiply
    1,229.06x = 1,697.75 × 982.11
  4. Step 4: Simplify right side
    1,229.06x = 1,667,379.71
  5. Step 5: Solve for x
    x = 1,667,379.71/1,229.06
  6. Step 6: Final answer
    x = 1,356.64

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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.