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Finding the Fourth Proportional to 1,042.14, 1,437.57 and 936.44

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Solution

The fourth proportional to 1,042.14, 1,437.57 and 936.44 is: 1,291.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.14 : 1,437.57 = 936.44 : x
  2. Step 2: Convert to fraction form
    1,042.14/1,437.57 = 936.44/x
  3. Step 3: Cross multiply
    1,042.14x = 1,437.57 × 936.44
  4. Step 4: Simplify right side
    1,042.14x = 1,346,190.86
  5. Step 5: Solve for x
    x = 1,346,190.86/1,042.14
  6. Step 6: Final answer
    x = 1,291.76

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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.