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Finding the Fourth Proportional to 921.43, 1,382.14 and 758.77

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Solution

The fourth proportional to 921.43, 1,382.14 and 758.77 is: 1,138.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.43 : 1,382.14 = 758.77 : x
  2. Step 2: Convert to fraction form
    921.43/1,382.14 = 758.77/x
  3. Step 3: Cross multiply
    921.43x = 1,382.14 × 758.77
  4. Step 4: Simplify right side
    921.43x = 1,048,721.02
  5. Step 5: Solve for x
    x = 1,048,721.02/921.43
  6. Step 6: Final answer
    x = 1,138.15

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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.