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Finding the Fourth Proportional to 1,197.52, 1,649.22 and 965.86

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Solution

The fourth proportional to 1,197.52, 1,649.22 and 965.86 is: 1,330.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.52 : 1,649.22 = 965.86 : x
  2. Step 2: Convert to fraction form
    1,197.52/1,649.22 = 965.86/x
  3. Step 3: Cross multiply
    1,197.52x = 1,649.22 × 965.86
  4. Step 4: Simplify right side
    1,197.52x = 1,592,915.63
  5. Step 5: Solve for x
    x = 1,592,915.63/1,197.52
  6. Step 6: Final answer
    x = 1,330.18

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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.