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Finding the Fourth Proportional to 974.40, 1,343.94 and 624.90

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Solution

The fourth proportional to 974.40, 1,343.94 and 624.90 is: 861.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.40 : 1,343.94 = 624.90 : x
  2. Step 2: Convert to fraction form
    974.40/1,343.94 = 624.90/x
  3. Step 3: Cross multiply
    974.40x = 1,343.94 × 624.90
  4. Step 4: Simplify right side
    974.40x = 839,828.11
  5. Step 5: Solve for x
    x = 839,828.11/974.40
  6. Step 6: Final answer
    x = 861.89

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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.