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Finding the Fourth Proportional to 1,042.34, 1,429.95 and 1,015.11

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Solution

The fourth proportional to 1,042.34, 1,429.95 and 1,015.11 is: 1,392.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.34 : 1,429.95 = 1,015.11 : x
  2. Step 2: Convert to fraction form
    1,042.34/1,429.95 = 1,015.11/x
  3. Step 3: Cross multiply
    1,042.34x = 1,429.95 × 1,015.11
  4. Step 4: Simplify right side
    1,042.34x = 1,451,556.33
  5. Step 5: Solve for x
    x = 1,451,556.33/1,042.34
  6. Step 6: Final answer
    x = 1,392.59

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.