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Finding the Fourth Proportional to 880.58, 1,319.85 and 587.73

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Solution

The fourth proportional to 880.58, 1,319.85 and 587.73 is: 880.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.58 : 1,319.85 = 587.73 : x
  2. Step 2: Convert to fraction form
    880.58/1,319.85 = 587.73/x
  3. Step 3: Cross multiply
    880.58x = 1,319.85 × 587.73
  4. Step 4: Simplify right side
    880.58x = 775,715.44
  5. Step 5: Solve for x
    x = 775,715.44/880.58
  6. Step 6: Final answer
    x = 880.91

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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.