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Finding the Fourth Proportional to 1,081.66, 1,623.22 and 595.06

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Solution

The fourth proportional to 1,081.66, 1,623.22 and 595.06 is: 892.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.66 : 1,623.22 = 595.06 : x
  2. Step 2: Convert to fraction form
    1,081.66/1,623.22 = 595.06/x
  3. Step 3: Cross multiply
    1,081.66x = 1,623.22 × 595.06
  4. Step 4: Simplify right side
    1,081.66x = 965,913.29
  5. Step 5: Solve for x
    x = 965,913.29/1,081.66
  6. Step 6: Final answer
    x = 892.99

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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.