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Finding the Fourth Proportional to 1,279.55, 1,766.00 and 755.84

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Solution

The fourth proportional to 1,279.55, 1,766.00 and 755.84 is: 1,043.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.55 : 1,766.00 = 755.84 : x
  2. Step 2: Convert to fraction form
    1,279.55/1,766.00 = 755.84/x
  3. Step 3: Cross multiply
    1,279.55x = 1,766.00 × 755.84
  4. Step 4: Simplify right side
    1,279.55x = 1,334,809.66
  5. Step 5: Solve for x
    x = 1,334,809.66/1,279.55
  6. Step 6: Final answer
    x = 1,043.19

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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.