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Finding the Fourth Proportional to 920.24, 1,379.15 and 591.05

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Solution

The fourth proportional to 920.24, 1,379.15 and 591.05 is: 885.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.24 : 1,379.15 = 591.05 : x
  2. Step 2: Convert to fraction form
    920.24/1,379.15 = 591.05/x
  3. Step 3: Cross multiply
    920.24x = 1,379.15 × 591.05
  4. Step 4: Simplify right side
    920.24x = 815,136.76
  5. Step 5: Solve for x
    x = 815,136.76/920.24
  6. Step 6: Final answer
    x = 885.79

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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.