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Finding the Fourth Proportional to 943.08, 1,414.62 and 510.44

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Solution

The fourth proportional to 943.08, 1,414.62 and 510.44 is: 765.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.08 : 1,414.62 = 510.44 : x
  2. Step 2: Convert to fraction form
    943.08/1,414.62 = 510.44/x
  3. Step 3: Cross multiply
    943.08x = 1,414.62 × 510.44
  4. Step 4: Simplify right side
    943.08x = 722,078.63
  5. Step 5: Solve for x
    x = 722,078.63/943.08
  6. Step 6: Final answer
    x = 765.66

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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.