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Finding the Fourth Proportional to 956.40, 1,318.78 and 624.20

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Solution

The fourth proportional to 956.40, 1,318.78 and 624.20 is: 860.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.40 : 1,318.78 = 624.20 : x
  2. Step 2: Convert to fraction form
    956.40/1,318.78 = 624.20/x
  3. Step 3: Cross multiply
    956.40x = 1,318.78 × 624.20
  4. Step 4: Simplify right side
    956.40x = 823,182.48
  5. Step 5: Solve for x
    x = 823,182.48/956.40
  6. Step 6: Final answer
    x = 860.71

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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.