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Finding the Fourth Proportional to 1,104.42, 1,657.02 and 982.92

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Solution

The fourth proportional to 1,104.42, 1,657.02 and 982.92 is: 1,474.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.42 : 1,657.02 = 982.92 : x
  2. Step 2: Convert to fraction form
    1,104.42/1,657.02 = 982.92/x
  3. Step 3: Cross multiply
    1,104.42x = 1,657.02 × 982.92
  4. Step 4: Simplify right side
    1,104.42x = 1,628,718.10
  5. Step 5: Solve for x
    x = 1,628,718.10/1,104.42
  6. Step 6: Final answer
    x = 1,474.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.