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Finding the Fourth Proportional to 1,587.33, 2,381.87 and 600.80

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Solution

The fourth proportional to 1,587.33, 2,381.87 and 600.80 is: 901.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.33 : 2,381.87 = 600.80 : x
  2. Step 2: Convert to fraction form
    1,587.33/2,381.87 = 600.80/x
  3. Step 3: Cross multiply
    1,587.33x = 2,381.87 × 600.80
  4. Step 4: Simplify right side
    1,587.33x = 1,431,022.68
  5. Step 5: Solve for x
    x = 1,431,022.68/1,587.33
  6. Step 6: Final answer
    x = 901.53

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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.