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Finding the Fourth Proportional to 678.74, 1,019.32 and 433.31

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Solution

The fourth proportional to 678.74, 1,019.32 and 433.31 is: 650.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.74 : 1,019.32 = 433.31 : x
  2. Step 2: Convert to fraction form
    678.74/1,019.32 = 433.31/x
  3. Step 3: Cross multiply
    678.74x = 1,019.32 × 433.31
  4. Step 4: Simplify right side
    678.74x = 441,675.37
  5. Step 5: Solve for x
    x = 441,675.37/678.74
  6. Step 6: Final answer
    x = 650.73

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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.