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Finding the Fourth Proportional to 1,267.69, 1,749.60 and 914.78

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Solution

The fourth proportional to 1,267.69, 1,749.60 and 914.78 is: 1,262.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.69 : 1,749.60 = 914.78 : x
  2. Step 2: Convert to fraction form
    1,267.69/1,749.60 = 914.78/x
  3. Step 3: Cross multiply
    1,267.69x = 1,749.60 × 914.78
  4. Step 4: Simplify right side
    1,267.69x = 1,600,494.51
  5. Step 5: Solve for x
    x = 1,600,494.51/1,267.69
  6. Step 6: Final answer
    x = 1,262.53

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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.