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Finding the Fourth Proportional to 900.81, 1,351.24 and 380.83

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Solution

The fourth proportional to 900.81, 1,351.24 and 380.83 is: 571.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.81 : 1,351.24 = 380.83 : x
  2. Step 2: Convert to fraction form
    900.81/1,351.24 = 380.83/x
  3. Step 3: Cross multiply
    900.81x = 1,351.24 × 380.83
  4. Step 4: Simplify right side
    900.81x = 514,588.40
  5. Step 5: Solve for x
    x = 514,588.40/900.81
  6. Step 6: Final answer
    x = 571.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.