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Finding the Fourth Proportional to 1,197.29, 1,651.72 and 865.19

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Solution

The fourth proportional to 1,197.29, 1,651.72 and 865.19 is: 1,193.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.29 : 1,651.72 = 865.19 : x
  2. Step 2: Convert to fraction form
    1,197.29/1,651.72 = 865.19/x
  3. Step 3: Cross multiply
    1,197.29x = 1,651.72 × 865.19
  4. Step 4: Simplify right side
    1,197.29x = 1,429,047.30
  5. Step 5: Solve for x
    x = 1,429,047.30/1,197.29
  6. Step 6: Final answer
    x = 1,193.57

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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.