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Finding the Fourth Proportional to 630.54, 869.28 and 616.74

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Solution

The fourth proportional to 630.54, 869.28 and 616.74 is: 850.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.54 : 869.28 = 616.74 : x
  2. Step 2: Convert to fraction form
    630.54/869.28 = 616.74/x
  3. Step 3: Cross multiply
    630.54x = 869.28 × 616.74
  4. Step 4: Simplify right side
    630.54x = 536,119.75
  5. Step 5: Solve for x
    x = 536,119.75/630.54
  6. Step 6: Final answer
    x = 850.25

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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.