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Finding the Fourth Proportional to 909.12, 1,364.62 and 580.44

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Solution

The fourth proportional to 909.12, 1,364.62 and 580.44 is: 871.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.12 : 1,364.62 = 580.44 : x
  2. Step 2: Convert to fraction form
    909.12/1,364.62 = 580.44/x
  3. Step 3: Cross multiply
    909.12x = 1,364.62 × 580.44
  4. Step 4: Simplify right side
    909.12x = 792,080.03
  5. Step 5: Solve for x
    x = 792,080.03/909.12
  6. Step 6: Final answer
    x = 871.26

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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.