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Finding the Fourth Proportional to 762.27, 1,143.33 and 275.32

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Solution

The fourth proportional to 762.27, 1,143.33 and 275.32 is: 412.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.27 : 1,143.33 = 275.32 : x
  2. Step 2: Convert to fraction form
    762.27/1,143.33 = 275.32/x
  3. Step 3: Cross multiply
    762.27x = 1,143.33 × 275.32
  4. Step 4: Simplify right side
    762.27x = 314,781.62
  5. Step 5: Solve for x
    x = 314,781.62/762.27
  6. Step 6: Final answer
    x = 412.95

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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.