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Finding the Fourth Proportional to 845.16, 1,267.73 and 268.04

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Solution

The fourth proportional to 845.16, 1,267.73 and 268.04 is: 402.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.16 : 1,267.73 = 268.04 : x
  2. Step 2: Convert to fraction form
    845.16/1,267.73 = 268.04/x
  3. Step 3: Cross multiply
    845.16x = 1,267.73 × 268.04
  4. Step 4: Simplify right side
    845.16x = 339,802.35
  5. Step 5: Solve for x
    x = 339,802.35/845.16
  6. Step 6: Final answer
    x = 402.06

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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.