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Finding the Fourth Proportional to 1,197.24, 1,652 and 699.72

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Solution

The fourth proportional to 1,197.24, 1,652 and 699.72 is: 965.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.24 : 1,652 = 699.72 : x
  2. Step 2: Convert to fraction form
    1,197.24/1,652 = 699.72/x
  3. Step 3: Cross multiply
    1,197.24x = 1,652 × 699.72
  4. Step 4: Simplify right side
    1,197.24x = 1,155,937.44
  5. Step 5: Solve for x
    x = 1,155,937.44/1,197.24
  6. Step 6: Final answer
    x = 965.50

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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.