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Finding the Fourth Proportional to 1,103.14, 1,521.34 and 824.05

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Solution

The fourth proportional to 1,103.14, 1,521.34 and 824.05 is: 1,136.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.14 : 1,521.34 = 824.05 : x
  2. Step 2: Convert to fraction form
    1,103.14/1,521.34 = 824.05/x
  3. Step 3: Cross multiply
    1,103.14x = 1,521.34 × 824.05
  4. Step 4: Simplify right side
    1,103.14x = 1,253,660.23
  5. Step 5: Solve for x
    x = 1,253,660.23/1,103.14
  6. Step 6: Final answer
    x = 1,136.45

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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.