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Finding the Fourth Proportional to 678.08, 1,016.75 and 348.88

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Solution

The fourth proportional to 678.08, 1,016.75 and 348.88 is: 523.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.08 : 1,016.75 = 348.88 : x
  2. Step 2: Convert to fraction form
    678.08/1,016.75 = 348.88/x
  3. Step 3: Cross multiply
    678.08x = 1,016.75 × 348.88
  4. Step 4: Simplify right side
    678.08x = 354,723.74
  5. Step 5: Solve for x
    x = 354,723.74/678.08
  6. Step 6: Final answer
    x = 523.13

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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.