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Finding the Fourth Proportional to 677.84, 1,016.95 and 287.86

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Solution

The fourth proportional to 677.84, 1,016.95 and 287.86 is: 431.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.84 : 1,016.95 = 287.86 : x
  2. Step 2: Convert to fraction form
    677.84/1,016.95 = 287.86/x
  3. Step 3: Cross multiply
    677.84x = 1,016.95 × 287.86
  4. Step 4: Simplify right side
    677.84x = 292,737.79
  5. Step 5: Solve for x
    x = 292,737.79/677.84
  6. Step 6: Final answer
    x = 431.87

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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.