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Finding the Fourth Proportional to 677.46, 1,015.39 and 446.29

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Solution

The fourth proportional to 677.46, 1,015.39 and 446.29 is: 668.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.46 : 1,015.39 = 446.29 : x
  2. Step 2: Convert to fraction form
    677.46/1,015.39 = 446.29/x
  3. Step 3: Cross multiply
    677.46x = 1,015.39 × 446.29
  4. Step 4: Simplify right side
    677.46x = 453,158.40
  5. Step 5: Solve for x
    x = 453,158.40/677.46
  6. Step 6: Final answer
    x = 668.91

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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.