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Finding the Fourth Proportional to 1,099.96, 1,658.25 and 1,040.42

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Solution

The fourth proportional to 1,099.96, 1,658.25 and 1,040.42 is: 1,568.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.96 : 1,658.25 = 1,040.42 : x
  2. Step 2: Convert to fraction form
    1,099.96/1,658.25 = 1,040.42/x
  3. Step 3: Cross multiply
    1,099.96x = 1,658.25 × 1,040.42
  4. Step 4: Simplify right side
    1,099.96x = 1,725,276.47
  5. Step 5: Solve for x
    x = 1,725,276.47/1,099.96
  6. Step 6: Final answer
    x = 1,568.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.