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Finding the Fourth Proportional to 844.71, 1,266.66 and 296.93

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Solution

The fourth proportional to 844.71, 1,266.66 and 296.93 is: 445.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.71 : 1,266.66 = 296.93 : x
  2. Step 2: Convert to fraction form
    844.71/1,266.66 = 296.93/x
  3. Step 3: Cross multiply
    844.71x = 1,266.66 × 296.93
  4. Step 4: Simplify right side
    844.71x = 376,103.02
  5. Step 5: Solve for x
    x = 376,103.02/844.71
  6. Step 6: Final answer
    x = 445.25

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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.