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Finding the Fourth Proportional to 974.18, 1,344.85 and 620.45

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Solution

The fourth proportional to 974.18, 1,344.85 and 620.45 is: 856.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.18 : 1,344.85 = 620.45 : x
  2. Step 2: Convert to fraction form
    974.18/1,344.85 = 620.45/x
  3. Step 3: Cross multiply
    974.18x = 1,344.85 × 620.45
  4. Step 4: Simplify right side
    974.18x = 834,412.18
  5. Step 5: Solve for x
    x = 834,412.18/974.18
  6. Step 6: Final answer
    x = 856.53

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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.