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Finding the Fourth Proportional to 918.72, 1,268.02 and 844.92

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Solution

The fourth proportional to 918.72, 1,268.02 and 844.92 is: 1,166.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.72 : 1,268.02 = 844.92 : x
  2. Step 2: Convert to fraction form
    918.72/1,268.02 = 844.92/x
  3. Step 3: Cross multiply
    918.72x = 1,268.02 × 844.92
  4. Step 4: Simplify right side
    918.72x = 1,071,375.46
  5. Step 5: Solve for x
    x = 1,071,375.46/918.72
  6. Step 6: Final answer
    x = 1,166.16

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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.