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Finding the Fourth Proportional to 951.79, 1,313.63 and 616.10

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Solution

The fourth proportional to 951.79, 1,313.63 and 616.10 is: 850.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.79 : 1,313.63 = 616.10 : x
  2. Step 2: Convert to fraction form
    951.79/1,313.63 = 616.10/x
  3. Step 3: Cross multiply
    951.79x = 1,313.63 × 616.10
  4. Step 4: Simplify right side
    951.79x = 809,327.44
  5. Step 5: Solve for x
    x = 809,327.44/951.79
  6. Step 6: Final answer
    x = 850.32

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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.