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Finding the Fourth Proportional to 1,197.18, 1,649.87 and 865.03

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Solution

The fourth proportional to 1,197.18, 1,649.87 and 865.03 is: 1,192.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.18 : 1,649.87 = 865.03 : x
  2. Step 2: Convert to fraction form
    1,197.18/1,649.87 = 865.03/x
  3. Step 3: Cross multiply
    1,197.18x = 1,649.87 × 865.03
  4. Step 4: Simplify right side
    1,197.18x = 1,427,184.93
  5. Step 5: Solve for x
    x = 1,427,184.93/1,197.18
  6. Step 6: Final answer
    x = 1,192.12

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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.