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Finding the Fourth Proportional to 906.72, 1,358.94 and 517.02

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Solution

The fourth proportional to 906.72, 1,358.94 and 517.02 is: 774.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.72 : 1,358.94 = 517.02 : x
  2. Step 2: Convert to fraction form
    906.72/1,358.94 = 517.02/x
  3. Step 3: Cross multiply
    906.72x = 1,358.94 × 517.02
  4. Step 4: Simplify right side
    906.72x = 702,599.16
  5. Step 5: Solve for x
    x = 702,599.16/906.72
  6. Step 6: Final answer
    x = 774.88

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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.