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Finding the Fourth Proportional to 866.15, 1,195.31 and 534.77

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Solution

The fourth proportional to 866.15, 1,195.31 and 534.77 is: 738.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.15 : 1,195.31 = 534.77 : x
  2. Step 2: Convert to fraction form
    866.15/1,195.31 = 534.77/x
  3. Step 3: Cross multiply
    866.15x = 1,195.31 × 534.77
  4. Step 4: Simplify right side
    866.15x = 639,215.93
  5. Step 5: Solve for x
    x = 639,215.93/866.15
  6. Step 6: Final answer
    x = 738.00

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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.