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Finding the Fourth Proportional to 772.61, 1,158.89 and 285.75

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Solution

The fourth proportional to 772.61, 1,158.89 and 285.75 is: 428.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.61 : 1,158.89 = 285.75 : x
  2. Step 2: Convert to fraction form
    772.61/1,158.89 = 285.75/x
  3. Step 3: Cross multiply
    772.61x = 1,158.89 × 285.75
  4. Step 4: Simplify right side
    772.61x = 331,151.39
  5. Step 5: Solve for x
    x = 331,151.39/772.61
  6. Step 6: Final answer
    x = 428.62

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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.