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Finding the Fourth Proportional to 1,279.83, 1,766.30 and 837.98

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Solution

The fourth proportional to 1,279.83, 1,766.30 and 837.98 is: 1,156.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.83 : 1,766.30 = 837.98 : x
  2. Step 2: Convert to fraction form
    1,279.83/1,766.30 = 837.98/x
  3. Step 3: Cross multiply
    1,279.83x = 1,766.30 × 837.98
  4. Step 4: Simplify right side
    1,279.83x = 1,480,111.05
  5. Step 5: Solve for x
    x = 1,480,111.05/1,279.83
  6. Step 6: Final answer
    x = 1,156.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.