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Finding the Fourth Proportional to 1,197.33, 1,651.92 and 975.90

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Solution

The fourth proportional to 1,197.33, 1,651.92 and 975.90 is: 1,346.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.33 : 1,651.92 = 975.90 : x
  2. Step 2: Convert to fraction form
    1,197.33/1,651.92 = 975.90/x
  3. Step 3: Cross multiply
    1,197.33x = 1,651.92 × 975.90
  4. Step 4: Simplify right side
    1,197.33x = 1,612,108.73
  5. Step 5: Solve for x
    x = 1,612,108.73/1,197.33
  6. Step 6: Final answer
    x = 1,346.42

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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.