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Finding the Fourth Proportional to 866.31, 1,296.68 and 454.87

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Solution

The fourth proportional to 866.31, 1,296.68 and 454.87 is: 680.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.31 : 1,296.68 = 454.87 : x
  2. Step 2: Convert to fraction form
    866.31/1,296.68 = 454.87/x
  3. Step 3: Cross multiply
    866.31x = 1,296.68 × 454.87
  4. Step 4: Simplify right side
    866.31x = 589,820.83
  5. Step 5: Solve for x
    x = 589,820.83/866.31
  6. Step 6: Final answer
    x = 680.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.