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Finding the Fourth Proportional to 686.34, 1,028.88 and 361.32

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Solution

The fourth proportional to 686.34, 1,028.88 and 361.32 is: 541.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.34 : 1,028.88 = 361.32 : x
  2. Step 2: Convert to fraction form
    686.34/1,028.88 = 361.32/x
  3. Step 3: Cross multiply
    686.34x = 1,028.88 × 361.32
  4. Step 4: Simplify right side
    686.34x = 371,754.92
  5. Step 5: Solve for x
    x = 371,754.92/686.34
  6. Step 6: Final answer
    x = 541.65

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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.