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Finding the Fourth Proportional to 677.78, 935.62 and 512.04

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Solution

The fourth proportional to 677.78, 935.62 and 512.04 is: 706.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.78 : 935.62 = 512.04 : x
  2. Step 2: Convert to fraction form
    677.78/935.62 = 512.04/x
  3. Step 3: Cross multiply
    677.78x = 935.62 × 512.04
  4. Step 4: Simplify right side
    677.78x = 479,074.86
  5. Step 5: Solve for x
    x = 479,074.86/677.78
  6. Step 6: Final answer
    x = 706.83

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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.