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Finding the Fourth Proportional to 1,086.47, 1,633.01 and 723.47

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Solution

The fourth proportional to 1,086.47, 1,633.01 and 723.47 is: 1,087.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.47 : 1,633.01 = 723.47 : x
  2. Step 2: Convert to fraction form
    1,086.47/1,633.01 = 723.47/x
  3. Step 3: Cross multiply
    1,086.47x = 1,633.01 × 723.47
  4. Step 4: Simplify right side
    1,086.47x = 1,181,433.74
  5. Step 5: Solve for x
    x = 1,181,433.74/1,086.47
  6. Step 6: Final answer
    x = 1,087.41

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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.