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Finding the Fourth Proportional to 678.08, 935.81 and 520.94

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Solution

The fourth proportional to 678.08, 935.81 and 520.94 is: 718.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.08 : 935.81 = 520.94 : x
  2. Step 2: Convert to fraction form
    678.08/935.81 = 520.94/x
  3. Step 3: Cross multiply
    678.08x = 935.81 × 520.94
  4. Step 4: Simplify right side
    678.08x = 487,493.58
  5. Step 5: Solve for x
    x = 487,493.58/678.08
  6. Step 6: Final answer
    x = 718.94

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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.