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Finding the Fourth Proportional to 762.83, 1,144.26 and 242.83

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Solution

The fourth proportional to 762.83, 1,144.26 and 242.83 is: 364.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.83 : 1,144.26 = 242.83 : x
  2. Step 2: Convert to fraction form
    762.83/1,144.26 = 242.83/x
  3. Step 3: Cross multiply
    762.83x = 1,144.26 × 242.83
  4. Step 4: Simplify right side
    762.83x = 277,862.09
  5. Step 5: Solve for x
    x = 277,862.09/762.83
  6. Step 6: Final answer
    x = 364.25

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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.