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Finding the Fourth Proportional to 1,279.48, 1,765.64 and 755.50

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Solution

The fourth proportional to 1,279.48, 1,765.64 and 755.50 is: 1,042.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.48 : 1,765.64 = 755.50 : x
  2. Step 2: Convert to fraction form
    1,279.48/1,765.64 = 755.50/x
  3. Step 3: Cross multiply
    1,279.48x = 1,765.64 × 755.50
  4. Step 4: Simplify right side
    1,279.48x = 1,333,941.02
  5. Step 5: Solve for x
    x = 1,333,941.02/1,279.48
  6. Step 6: Final answer
    x = 1,042.56

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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.