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Finding the Fourth Proportional to 678.04, 934.78 and 520.76

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Solution

The fourth proportional to 678.04, 934.78 and 520.76 is: 717.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.04 : 934.78 = 520.76 : x
  2. Step 2: Convert to fraction form
    678.04/934.78 = 520.76/x
  3. Step 3: Cross multiply
    678.04x = 934.78 × 520.76
  4. Step 4: Simplify right side
    678.04x = 486,796.03
  5. Step 5: Solve for x
    x = 486,796.03/678.04
  6. Step 6: Final answer
    x = 717.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.