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Finding the Fourth Proportional to 1,043.29, 1,447.12 and 1,005.91

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Solution

The fourth proportional to 1,043.29, 1,447.12 and 1,005.91 is: 1,395.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.29 : 1,447.12 = 1,005.91 : x
  2. Step 2: Convert to fraction form
    1,043.29/1,447.12 = 1,005.91/x
  3. Step 3: Cross multiply
    1,043.29x = 1,447.12 × 1,005.91
  4. Step 4: Simplify right side
    1,043.29x = 1,455,672.48
  5. Step 5: Solve for x
    x = 1,455,672.48/1,043.29
  6. Step 6: Final answer
    x = 1,395.27

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.