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Finding the Fourth Proportional to 920.31, 1,269.99 and 527.28

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Solution

The fourth proportional to 920.31, 1,269.99 and 527.28 is: 727.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.31 : 1,269.99 = 527.28 : x
  2. Step 2: Convert to fraction form
    920.31/1,269.99 = 527.28/x
  3. Step 3: Cross multiply
    920.31x = 1,269.99 × 527.28
  4. Step 4: Simplify right side
    920.31x = 669,640.33
  5. Step 5: Solve for x
    x = 669,640.33/920.31
  6. Step 6: Final answer
    x = 727.62

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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.