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Finding the Fourth Proportional to 1,197.17, 1,651.62 and 883.18

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Solution

The fourth proportional to 1,197.17, 1,651.62 and 883.18 is: 1,218.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.17 : 1,651.62 = 883.18 : x
  2. Step 2: Convert to fraction form
    1,197.17/1,651.62 = 883.18/x
  3. Step 3: Cross multiply
    1,197.17x = 1,651.62 × 883.18
  4. Step 4: Simplify right side
    1,197.17x = 1,458,677.75
  5. Step 5: Solve for x
    x = 1,458,677.75/1,197.17
  6. Step 6: Final answer
    x = 1,218.44

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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.