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Finding the Fourth Proportional to 845.66, 1,165.69 and 635.56

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Solution

The fourth proportional to 845.66, 1,165.69 and 635.56 is: 876.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.66 : 1,165.69 = 635.56 : x
  2. Step 2: Convert to fraction form
    845.66/1,165.69 = 635.56/x
  3. Step 3: Cross multiply
    845.66x = 1,165.69 × 635.56
  4. Step 4: Simplify right side
    845.66x = 740,865.94
  5. Step 5: Solve for x
    x = 740,865.94/845.66
  6. Step 6: Final answer
    x = 876.08

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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.