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Finding the Fourth Proportional to 762.17, 1,143.34 and 416

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Solution

The fourth proportional to 762.17, 1,143.34 and 416 is: 624.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.17 : 1,143.34 = 416 : x
  2. Step 2: Convert to fraction form
    762.17/1,143.34 = 416/x
  3. Step 3: Cross multiply
    762.17x = 1,143.34 × 416
  4. Step 4: Simplify right side
    762.17x = 475,627.36
  5. Step 5: Solve for x
    x = 475,627.36/762.17
  6. Step 6: Final answer
    x = 624.05

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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.