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Finding the Fourth Proportional to 866.27, 1,292.54 and 813.75

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Solution

The fourth proportional to 866.27, 1,292.54 and 813.75 is: 1,214.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.27 : 1,292.54 = 813.75 : x
  2. Step 2: Convert to fraction form
    866.27/1,292.54 = 813.75/x
  3. Step 3: Cross multiply
    866.27x = 1,292.54 × 813.75
  4. Step 4: Simplify right side
    866.27x = 1,051,806.46
  5. Step 5: Solve for x
    x = 1,051,806.46/866.27
  6. Step 6: Final answer
    x = 1,214.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.