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Finding the Fourth Proportional to 762.86, 1,142.84 and 398.03

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Solution

The fourth proportional to 762.86, 1,142.84 and 398.03 is: 596.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.86 : 1,142.84 = 398.03 : x
  2. Step 2: Convert to fraction form
    762.86/1,142.84 = 398.03/x
  3. Step 3: Cross multiply
    762.86x = 1,142.84 × 398.03
  4. Step 4: Simplify right side
    762.86x = 454,879.89
  5. Step 5: Solve for x
    x = 454,879.89/762.86
  6. Step 6: Final answer
    x = 596.28

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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.