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Finding the Fourth Proportional to 763.78, 1,143.61 and 628.46

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Solution

The fourth proportional to 763.78, 1,143.61 and 628.46 is: 940.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.78 : 1,143.61 = 628.46 : x
  2. Step 2: Convert to fraction form
    763.78/1,143.61 = 628.46/x
  3. Step 3: Cross multiply
    763.78x = 1,143.61 × 628.46
  4. Step 4: Simplify right side
    763.78x = 718,707.42
  5. Step 5: Solve for x
    x = 718,707.42/763.78
  6. Step 6: Final answer
    x = 940.99

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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.