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Finding the Fourth Proportional to 835.41, 1,154.25 and 587.55

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Solution

The fourth proportional to 835.41, 1,154.25 and 587.55 is: 811.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.41 : 1,154.25 = 587.55 : x
  2. Step 2: Convert to fraction form
    835.41/1,154.25 = 587.55/x
  3. Step 3: Cross multiply
    835.41x = 1,154.25 × 587.55
  4. Step 4: Simplify right side
    835.41x = 678,183.92
  5. Step 5: Solve for x
    x = 678,183.92/835.41
  6. Step 6: Final answer
    x = 811.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.