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Finding the Fourth Proportional to 686.12, 1,027.40 and 623.68

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Solution

The fourth proportional to 686.12, 1,027.40 and 623.68 is: 933.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.12 : 1,027.40 = 623.68 : x
  2. Step 2: Convert to fraction form
    686.12/1,027.40 = 623.68/x
  3. Step 3: Cross multiply
    686.12x = 1,027.40 × 623.68
  4. Step 4: Simplify right side
    686.12x = 640,763.15
  5. Step 5: Solve for x
    x = 640,763.15/686.12
  6. Step 6: Final answer
    x = 933.90

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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.