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Finding the Fourth Proportional to 762.94, 1,144.41 and 215.18

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Solution

The fourth proportional to 762.94, 1,144.41 and 215.18 is: 322.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.94 : 1,144.41 = 215.18 : x
  2. Step 2: Convert to fraction form
    762.94/1,144.41 = 215.18/x
  3. Step 3: Cross multiply
    762.94x = 1,144.41 × 215.18
  4. Step 4: Simplify right side
    762.94x = 246,254.14
  5. Step 5: Solve for x
    x = 246,254.14/762.94
  6. Step 6: Final answer
    x = 322.77

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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.