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Finding the Fourth Proportional to 1,103.76, 1,654.74 and 982.26

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Solution

The fourth proportional to 1,103.76, 1,654.74 and 982.26 is: 1,472.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.76 : 1,654.74 = 982.26 : x
  2. Step 2: Convert to fraction form
    1,103.76/1,654.74 = 982.26/x
  3. Step 3: Cross multiply
    1,103.76x = 1,654.74 × 982.26
  4. Step 4: Simplify right side
    1,103.76x = 1,625,384.91
  5. Step 5: Solve for x
    x = 1,625,384.91/1,103.76
  6. Step 6: Final answer
    x = 1,472.59

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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.