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Finding the Fourth Proportional to 678.16, 936.84 and 616.24

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Solution

The fourth proportional to 678.16, 936.84 and 616.24 is: 851.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.16 : 936.84 = 616.24 : x
  2. Step 2: Convert to fraction form
    678.16/936.84 = 616.24/x
  3. Step 3: Cross multiply
    678.16x = 936.84 × 616.24
  4. Step 4: Simplify right side
    678.16x = 577,318.28
  5. Step 5: Solve for x
    x = 577,318.28/678.16
  6. Step 6: Final answer
    x = 851.30

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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.