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Finding the Fourth Proportional to 1,115.07, 1,537.86 and 835.97

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Solution

The fourth proportional to 1,115.07, 1,537.86 and 835.97 is: 1,152.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.07 : 1,537.86 = 835.97 : x
  2. Step 2: Convert to fraction form
    1,115.07/1,537.86 = 835.97/x
  3. Step 3: Cross multiply
    1,115.07x = 1,537.86 × 835.97
  4. Step 4: Simplify right side
    1,115.07x = 1,285,604.82
  5. Step 5: Solve for x
    x = 1,285,604.82/1,115.07
  6. Step 6: Final answer
    x = 1,152.94

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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.