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Finding the Fourth Proportional to 1,334.26, 2,002.07 and 594.38

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Solution

The fourth proportional to 1,334.26, 2,002.07 and 594.38 is: 891.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.26 : 2,002.07 = 594.38 : x
  2. Step 2: Convert to fraction form
    1,334.26/2,002.07 = 594.38/x
  3. Step 3: Cross multiply
    1,334.26x = 2,002.07 × 594.38
  4. Step 4: Simplify right side
    1,334.26x = 1,189,990.37
  5. Step 5: Solve for x
    x = 1,189,990.37/1,334.26
  6. Step 6: Final answer
    x = 891.87

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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.