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Finding the Fourth Proportional to 1,197.12, 1,649.52 and 935.04

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Solution

The fourth proportional to 1,197.12, 1,649.52 and 935.04 is: 1,288.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.12 : 1,649.52 = 935.04 : x
  2. Step 2: Convert to fraction form
    1,197.12/1,649.52 = 935.04/x
  3. Step 3: Cross multiply
    1,197.12x = 1,649.52 × 935.04
  4. Step 4: Simplify right side
    1,197.12x = 1,542,367.18
  5. Step 5: Solve for x
    x = 1,542,367.18/1,197.12
  6. Step 6: Final answer
    x = 1,288.40

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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.