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Finding the Fourth Proportional to 763.87, 1,145.57 and 216.07

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Solution

The fourth proportional to 763.87, 1,145.57 and 216.07 is: 324.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.87 : 1,145.57 = 216.07 : x
  2. Step 2: Convert to fraction form
    763.87/1,145.57 = 216.07/x
  3. Step 3: Cross multiply
    763.87x = 1,145.57 × 216.07
  4. Step 4: Simplify right side
    763.87x = 247,522.23
  5. Step 5: Solve for x
    x = 247,522.23/763.87
  6. Step 6: Final answer
    x = 324.04

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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.