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Finding the Fourth Proportional to 1,359.07, 1,874.22 and 886.81

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Solution

The fourth proportional to 1,359.07, 1,874.22 and 886.81 is: 1,222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.07 : 1,874.22 = 886.81 : x
  2. Step 2: Convert to fraction form
    1,359.07/1,874.22 = 886.81/x
  3. Step 3: Cross multiply
    1,359.07x = 1,874.22 × 886.81
  4. Step 4: Simplify right side
    1,359.07x = 1,662,078.29
  5. Step 5: Solve for x
    x = 1,662,078.29/1,359.07
  6. Step 6: Final answer
    x = 1,222.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.