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Finding the Fourth Proportional to 732.75, 1,011.28 and 418.12

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Solution

The fourth proportional to 732.75, 1,011.28 and 418.12 is: 577.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.75 : 1,011.28 = 418.12 : x
  2. Step 2: Convert to fraction form
    732.75/1,011.28 = 418.12/x
  3. Step 3: Cross multiply
    732.75x = 1,011.28 × 418.12
  4. Step 4: Simplify right side
    732.75x = 422,836.39
  5. Step 5: Solve for x
    x = 422,836.39/732.75
  6. Step 6: Final answer
    x = 577.05

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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.