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Finding the Fourth Proportional to 699.25, 964.58 and 616.57

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Solution

The fourth proportional to 699.25, 964.58 and 616.57 is: 850.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.25 : 964.58 = 616.57 : x
  2. Step 2: Convert to fraction form
    699.25/964.58 = 616.57/x
  3. Step 3: Cross multiply
    699.25x = 964.58 × 616.57
  4. Step 4: Simplify right side
    699.25x = 594,731.09
  5. Step 5: Solve for x
    x = 594,731.09/699.25
  6. Step 6: Final answer
    x = 850.53

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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.