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Finding the Fourth Proportional to 901.04, 1,351.77 and 380.78

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Solution

The fourth proportional to 901.04, 1,351.77 and 380.78 is: 571.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.04 : 1,351.77 = 380.78 : x
  2. Step 2: Convert to fraction form
    901.04/1,351.77 = 380.78/x
  3. Step 3: Cross multiply
    901.04x = 1,351.77 × 380.78
  4. Step 4: Simplify right side
    901.04x = 514,726.98
  5. Step 5: Solve for x
    x = 514,726.98/901.04
  6. Step 6: Final answer
    x = 571.26

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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.