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Finding the Fourth Proportional to 1,132.23, 1,698.60 and 362.73

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Solution

The fourth proportional to 1,132.23, 1,698.60 and 362.73 is: 544.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.23 : 1,698.60 = 362.73 : x
  2. Step 2: Convert to fraction form
    1,132.23/1,698.60 = 362.73/x
  3. Step 3: Cross multiply
    1,132.23x = 1,698.60 × 362.73
  4. Step 4: Simplify right side
    1,132.23x = 616,133.18
  5. Step 5: Solve for x
    x = 616,133.18/1,132.23
  6. Step 6: Final answer
    x = 544.18

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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.