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Finding the Fourth Proportional to 1,103.16, 1,658.40 and 862.60

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Solution

The fourth proportional to 1,103.16, 1,658.40 and 862.60 is: 1,296.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.16 : 1,658.40 = 862.60 : x
  2. Step 2: Convert to fraction form
    1,103.16/1,658.40 = 862.60/x
  3. Step 3: Cross multiply
    1,103.16x = 1,658.40 × 862.60
  4. Step 4: Simplify right side
    1,103.16x = 1,430,535.84
  5. Step 5: Solve for x
    x = 1,430,535.84/1,103.16
  6. Step 6: Final answer
    x = 1,296.76

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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.