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Finding the Fourth Proportional to 1,089.39, 1,633.47 and 504.97

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Solution

The fourth proportional to 1,089.39, 1,633.47 and 504.97 is: 757.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.39 : 1,633.47 = 504.97 : x
  2. Step 2: Convert to fraction form
    1,089.39/1,633.47 = 504.97/x
  3. Step 3: Cross multiply
    1,089.39x = 1,633.47 × 504.97
  4. Step 4: Simplify right side
    1,089.39x = 824,853.35
  5. Step 5: Solve for x
    x = 824,853.35/1,089.39
  6. Step 6: Final answer
    x = 757.17

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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.