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Finding the Fourth Proportional to 845.79, 1,267.22 and 760.19

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Solution

The fourth proportional to 845.79, 1,267.22 and 760.19 is: 1,138.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.79 : 1,267.22 = 760.19 : x
  2. Step 2: Convert to fraction form
    845.79/1,267.22 = 760.19/x
  3. Step 3: Cross multiply
    845.79x = 1,267.22 × 760.19
  4. Step 4: Simplify right side
    845.79x = 963,323.54
  5. Step 5: Solve for x
    x = 963,323.54/845.79
  6. Step 6: Final answer
    x = 1,138.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.