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Finding the Fourth Proportional to 678.33, 1,017.54 and 391.59

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Solution

The fourth proportional to 678.33, 1,017.54 and 391.59 is: 587.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.33 : 1,017.54 = 391.59 : x
  2. Step 2: Convert to fraction form
    678.33/1,017.54 = 391.59/x
  3. Step 3: Cross multiply
    678.33x = 1,017.54 × 391.59
  4. Step 4: Simplify right side
    678.33x = 398,458.49
  5. Step 5: Solve for x
    x = 398,458.49/678.33
  6. Step 6: Final answer
    x = 587.41

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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.