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Finding the Fourth Proportional to 763.84, 1,145.12 and 416.80

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Solution

The fourth proportional to 763.84, 1,145.12 and 416.80 is: 624.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.84 : 1,145.12 = 416.80 : x
  2. Step 2: Convert to fraction form
    763.84/1,145.12 = 416.80/x
  3. Step 3: Cross multiply
    763.84x = 1,145.12 × 416.80
  4. Step 4: Simplify right side
    763.84x = 477,286.02
  5. Step 5: Solve for x
    x = 477,286.02/763.84
  6. Step 6: Final answer
    x = 624.85

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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.