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Finding the Fourth Proportional to 906.33, 1,357.97 and 581.52

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Solution

The fourth proportional to 906.33, 1,357.97 and 581.52 is: 871.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.33 : 1,357.97 = 581.52 : x
  2. Step 2: Convert to fraction form
    906.33/1,357.97 = 581.52/x
  3. Step 3: Cross multiply
    906.33x = 1,357.97 × 581.52
  4. Step 4: Simplify right side
    906.33x = 789,683.81
  5. Step 5: Solve for x
    x = 789,683.81/906.33
  6. Step 6: Final answer
    x = 871.30

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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.