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Finding the Fourth Proportional to 763.77, 1,143.21 and 601.77

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Solution

The fourth proportional to 763.77, 1,143.21 and 601.77 is: 900.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.77 : 1,143.21 = 601.77 : x
  2. Step 2: Convert to fraction form
    763.77/1,143.21 = 601.77/x
  3. Step 3: Cross multiply
    763.77x = 1,143.21 × 601.77
  4. Step 4: Simplify right side
    763.77x = 687,949.48
  5. Step 5: Solve for x
    x = 687,949.48/763.77
  6. Step 6: Final answer
    x = 900.73

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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.