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Finding the Fourth Proportional to 1,135.49, 1,695.87 and 1,072.31

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Solution

The fourth proportional to 1,135.49, 1,695.87 and 1,072.31 is: 1,601.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.49 : 1,695.87 = 1,072.31 : x
  2. Step 2: Convert to fraction form
    1,135.49/1,695.87 = 1,072.31/x
  3. Step 3: Cross multiply
    1,135.49x = 1,695.87 × 1,072.31
  4. Step 4: Simplify right side
    1,135.49x = 1,818,489.88
  5. Step 5: Solve for x
    x = 1,818,489.88/1,135.49
  6. Step 6: Final answer
    x = 1,601.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.