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Finding the Fourth Proportional to 1,036.62, 1,553.09 and 625.19

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Solution

The fourth proportional to 1,036.62, 1,553.09 and 625.19 is: 936.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.62 : 1,553.09 = 625.19 : x
  2. Step 2: Convert to fraction form
    1,036.62/1,553.09 = 625.19/x
  3. Step 3: Cross multiply
    1,036.62x = 1,553.09 × 625.19
  4. Step 4: Simplify right side
    1,036.62x = 970,976.34
  5. Step 5: Solve for x
    x = 970,976.34/1,036.62
  6. Step 6: Final answer
    x = 936.68

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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.