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Finding the Fourth Proportional to 1,335.07, 1,843.23 and 1,000.81

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Solution

The fourth proportional to 1,335.07, 1,843.23 and 1,000.81 is: 1,381.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.07 : 1,843.23 = 1,000.81 : x
  2. Step 2: Convert to fraction form
    1,335.07/1,843.23 = 1,000.81/x
  3. Step 3: Cross multiply
    1,335.07x = 1,843.23 × 1,000.81
  4. Step 4: Simplify right side
    1,335.07x = 1,844,723.02
  5. Step 5: Solve for x
    x = 1,844,723.02/1,335.07
  6. Step 6: Final answer
    x = 1,381.74

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Why These Related Problems?

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