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Finding the Fourth Proportional to 767.73, 1,152.99 and 586.41

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Solution

The fourth proportional to 767.73, 1,152.99 and 586.41 is: 880.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.73 : 1,152.99 = 586.41 : x
  2. Step 2: Convert to fraction form
    767.73/1,152.99 = 586.41/x
  3. Step 3: Cross multiply
    767.73x = 1,152.99 × 586.41
  4. Step 4: Simplify right side
    767.73x = 676,124.87
  5. Step 5: Solve for x
    x = 676,124.87/767.73
  6. Step 6: Final answer
    x = 880.68

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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.