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Finding the Fourth Proportional to 901.28, 1,351.20 and 536

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Solution

The fourth proportional to 901.28, 1,351.20 and 536 is: 803.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.28 : 1,351.20 = 536 : x
  2. Step 2: Convert to fraction form
    901.28/1,351.20 = 536/x
  3. Step 3: Cross multiply
    901.28x = 1,351.20 × 536
  4. Step 4: Simplify right side
    901.28x = 724,243.20
  5. Step 5: Solve for x
    x = 724,243.20/901.28
  6. Step 6: Final answer
    x = 803.57

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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.