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Finding the Fourth Proportional to 677.89, 1,016.33 and 433.94

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Solution

The fourth proportional to 677.89, 1,016.33 and 433.94 is: 650.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.89 : 1,016.33 = 433.94 : x
  2. Step 2: Convert to fraction form
    677.89/1,016.33 = 433.94/x
  3. Step 3: Cross multiply
    677.89x = 1,016.33 × 433.94
  4. Step 4: Simplify right side
    677.89x = 441,026.61
  5. Step 5: Solve for x
    x = 441,026.61/677.89
  6. Step 6: Final answer
    x = 650.59

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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.