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Finding the Fourth Proportional to 843.01, 1,264.95 and 601.49

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Solution

The fourth proportional to 843.01, 1,264.95 and 601.49 is: 902.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.01 : 1,264.95 = 601.49 : x
  2. Step 2: Convert to fraction form
    843.01/1,264.95 = 601.49/x
  3. Step 3: Cross multiply
    843.01x = 1,264.95 × 601.49
  4. Step 4: Simplify right side
    843.01x = 760,857.94
  5. Step 5: Solve for x
    x = 760,857.94/843.01
  6. Step 6: Final answer
    x = 902.55

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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.