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Finding the Fourth Proportional to 686.90, 1,028.46 and 442.82

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Solution

The fourth proportional to 686.90, 1,028.46 and 442.82 is: 663.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.90 : 1,028.46 = 442.82 : x
  2. Step 2: Convert to fraction form
    686.90/1,028.46 = 442.82/x
  3. Step 3: Cross multiply
    686.90x = 1,028.46 × 442.82
  4. Step 4: Simplify right side
    686.90x = 455,422.66
  5. Step 5: Solve for x
    x = 455,422.66/686.90
  6. Step 6: Final answer
    x = 663.01

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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.