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Finding the Fourth Proportional to 1,127.62, 1,693.31 and 697.51

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Solution

The fourth proportional to 1,127.62, 1,693.31 and 697.51 is: 1,047.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.62 : 1,693.31 = 697.51 : x
  2. Step 2: Convert to fraction form
    1,127.62/1,693.31 = 697.51/x
  3. Step 3: Cross multiply
    1,127.62x = 1,693.31 × 697.51
  4. Step 4: Simplify right side
    1,127.62x = 1,181,099.29
  5. Step 5: Solve for x
    x = 1,181,099.29/1,127.62
  6. Step 6: Final answer
    x = 1,047.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.