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Finding the Fourth Proportional to 844.01, 1,165.55 and 656.90

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Solution

The fourth proportional to 844.01, 1,165.55 and 656.90 is: 907.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.01 : 1,165.55 = 656.90 : x
  2. Step 2: Convert to fraction form
    844.01/1,165.55 = 656.90/x
  3. Step 3: Cross multiply
    844.01x = 1,165.55 × 656.90
  4. Step 4: Simplify right side
    844.01x = 765,649.80
  5. Step 5: Solve for x
    x = 765,649.80/844.01
  6. Step 6: Final answer
    x = 907.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.