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Finding the Fourth Proportional to 843.96, 1,266.05 and 296.07

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Solution

The fourth proportional to 843.96, 1,266.05 and 296.07 is: 444.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.96 : 1,266.05 = 296.07 : x
  2. Step 2: Convert to fraction form
    843.96/1,266.05 = 296.07/x
  3. Step 3: Cross multiply
    843.96x = 1,266.05 × 296.07
  4. Step 4: Simplify right side
    843.96x = 374,839.42
  5. Step 5: Solve for x
    x = 374,839.42/843.96
  6. Step 6: Final answer
    x = 444.14

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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.