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Finding the Fourth Proportional to 678.81, 1,016.46 and 581.94

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Solution

The fourth proportional to 678.81, 1,016.46 and 581.94 is: 871.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.81 : 1,016.46 = 581.94 : x
  2. Step 2: Convert to fraction form
    678.81/1,016.46 = 581.94/x
  3. Step 3: Cross multiply
    678.81x = 1,016.46 × 581.94
  4. Step 4: Simplify right side
    678.81x = 591,518.73
  5. Step 5: Solve for x
    x = 591,518.73/678.81
  6. Step 6: Final answer
    x = 871.41

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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.