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Finding the Fourth Proportional to 762.62, 1,143.95 and 416.13

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Solution

The fourth proportional to 762.62, 1,143.95 and 416.13 is: 624.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.62 : 1,143.95 = 416.13 : x
  2. Step 2: Convert to fraction form
    762.62/1,143.95 = 416.13/x
  3. Step 3: Cross multiply
    762.62x = 1,143.95 × 416.13
  4. Step 4: Simplify right side
    762.62x = 476,029.83
  5. Step 5: Solve for x
    x = 476,029.83/762.62
  6. Step 6: Final answer
    x = 624.21

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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.