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Finding the Fourth Proportional to 984.82, 1,358.89 and 631.05

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Solution

The fourth proportional to 984.82, 1,358.89 and 631.05 is: 870.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.82 : 1,358.89 = 631.05 : x
  2. Step 2: Convert to fraction form
    984.82/1,358.89 = 631.05/x
  3. Step 3: Cross multiply
    984.82x = 1,358.89 × 631.05
  4. Step 4: Simplify right side
    984.82x = 857,524.38
  5. Step 5: Solve for x
    x = 857,524.38/984.82
  6. Step 6: Final answer
    x = 870.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.