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Finding the Fourth Proportional to 845.78, 1,267.86 and 268.26

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Solution

The fourth proportional to 845.78, 1,267.86 and 268.26 is: 402.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.78 : 1,267.86 = 268.26 : x
  2. Step 2: Convert to fraction form
    845.78/1,267.86 = 268.26/x
  3. Step 3: Cross multiply
    845.78x = 1,267.86 × 268.26
  4. Step 4: Simplify right side
    845.78x = 340,116.12
  5. Step 5: Solve for x
    x = 340,116.12/845.78
  6. Step 6: Final answer
    x = 402.13

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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.