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Finding the Fourth Proportional to 926.09, 1,279.08 and 837.54

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Solution

The fourth proportional to 926.09, 1,279.08 and 837.54 is: 1,156.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.09 : 1,279.08 = 837.54 : x
  2. Step 2: Convert to fraction form
    926.09/1,279.08 = 837.54/x
  3. Step 3: Cross multiply
    926.09x = 1,279.08 × 837.54
  4. Step 4: Simplify right side
    926.09x = 1,071,280.66
  5. Step 5: Solve for x
    x = 1,071,280.66/926.09
  6. Step 6: Final answer
    x = 1,156.78

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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.