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Finding the Fourth Proportional to 1,073.23, 1,606.60 and 992.23

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Solution

The fourth proportional to 1,073.23, 1,606.60 and 992.23 is: 1,485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.23 : 1,606.60 = 992.23 : x
  2. Step 2: Convert to fraction form
    1,073.23/1,606.60 = 992.23/x
  3. Step 3: Cross multiply
    1,073.23x = 1,606.60 × 992.23
  4. Step 4: Simplify right side
    1,073.23x = 1,594,116.72
  5. Step 5: Solve for x
    x = 1,594,116.72/1,073.23
  6. Step 6: Final answer
    x = 1,485.34

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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.