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Finding the Fourth Proportional to 677.92, 1,017.73 and 523.95

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Solution

The fourth proportional to 677.92, 1,017.73 and 523.95 is: 786.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.92 : 1,017.73 = 523.95 : x
  2. Step 2: Convert to fraction form
    677.92/1,017.73 = 523.95/x
  3. Step 3: Cross multiply
    677.92x = 1,017.73 × 523.95
  4. Step 4: Simplify right side
    677.92x = 533,239.63
  5. Step 5: Solve for x
    x = 533,239.63/677.92
  6. Step 6: Final answer
    x = 786.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.