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Finding the Fourth Proportional to 1,228.81, 1,842.92 and 766.35

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Solution

The fourth proportional to 1,228.81, 1,842.92 and 766.35 is: 1,149.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.81 : 1,842.92 = 766.35 : x
  2. Step 2: Convert to fraction form
    1,228.81/1,842.92 = 766.35/x
  3. Step 3: Cross multiply
    1,228.81x = 1,842.92 × 766.35
  4. Step 4: Simplify right side
    1,228.81x = 1,412,322.52
  5. Step 5: Solve for x
    x = 1,412,322.52/1,228.81
  6. Step 6: Final answer
    x = 1,149.34

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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.