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Finding the Fourth Proportional to 678.39, 1,016.35 and 631

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Solution

The fourth proportional to 678.39, 1,016.35 and 631 is: 945.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.39 : 1,016.35 = 631 : x
  2. Step 2: Convert to fraction form
    678.39/1,016.35 = 631/x
  3. Step 3: Cross multiply
    678.39x = 1,016.35 × 631
  4. Step 4: Simplify right side
    678.39x = 641,316.85
  5. Step 5: Solve for x
    x = 641,316.85/678.39
  6. Step 6: Final answer
    x = 945.35

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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.