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Finding the Fourth Proportional to 866.43, 1,299.84 and 455.76

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Solution

The fourth proportional to 866.43, 1,299.84 and 455.76 is: 683.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.43 : 1,299.84 = 455.76 : x
  2. Step 2: Convert to fraction form
    866.43/1,299.84 = 455.76/x
  3. Step 3: Cross multiply
    866.43x = 1,299.84 × 455.76
  4. Step 4: Simplify right side
    866.43x = 592,415.08
  5. Step 5: Solve for x
    x = 592,415.08/866.43
  6. Step 6: Final answer
    x = 683.74

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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.