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Finding the Fourth Proportional to 925.66, 1,389.12 and 682.78

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Solution

The fourth proportional to 925.66, 1,389.12 and 682.78 is: 1,024.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.66 : 1,389.12 = 682.78 : x
  2. Step 2: Convert to fraction form
    925.66/1,389.12 = 682.78/x
  3. Step 3: Cross multiply
    925.66x = 1,389.12 × 682.78
  4. Step 4: Simplify right side
    925.66x = 948,463.35
  5. Step 5: Solve for x
    x = 948,463.35/925.66
  6. Step 6: Final answer
    x = 1,024.63

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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.