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Finding the Fourth Proportional to 775.21, 1,069.78 and 425.89

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Solution

The fourth proportional to 775.21, 1,069.78 and 425.89 is: 587.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.21 : 1,069.78 = 425.89 : x
  2. Step 2: Convert to fraction form
    775.21/1,069.78 = 425.89/x
  3. Step 3: Cross multiply
    775.21x = 1,069.78 × 425.89
  4. Step 4: Simplify right side
    775.21x = 455,612.34
  5. Step 5: Solve for x
    x = 455,612.34/775.21
  6. Step 6: Final answer
    x = 587.73

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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.