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Finding the Fourth Proportional to 783.97, 1,175.96 and 296.91

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Solution

The fourth proportional to 783.97, 1,175.96 and 296.91 is: 445.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.97 : 1,175.96 = 296.91 : x
  2. Step 2: Convert to fraction form
    783.97/1,175.96 = 296.91/x
  3. Step 3: Cross multiply
    783.97x = 1,175.96 × 296.91
  4. Step 4: Simplify right side
    783.97x = 349,152.80
  5. Step 5: Solve for x
    x = 349,152.80/783.97
  6. Step 6: Final answer
    x = 445.37

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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.