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Finding the Fourth Proportional to 1,132.28, 1,698.58 and 401.79

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Solution

The fourth proportional to 1,132.28, 1,698.58 and 401.79 is: 602.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.28 : 1,698.58 = 401.79 : x
  2. Step 2: Convert to fraction form
    1,132.28/1,698.58 = 401.79/x
  3. Step 3: Cross multiply
    1,132.28x = 1,698.58 × 401.79
  4. Step 4: Simplify right side
    1,132.28x = 682,472.96
  5. Step 5: Solve for x
    x = 682,472.96/1,132.28
  6. Step 6: Final answer
    x = 602.74

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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.