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Finding the Fourth Proportional to 1,135.43, 1,566.91 and 638.09

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Solution

The fourth proportional to 1,135.43, 1,566.91 and 638.09 is: 880.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.43 : 1,566.91 = 638.09 : x
  2. Step 2: Convert to fraction form
    1,135.43/1,566.91 = 638.09/x
  3. Step 3: Cross multiply
    1,135.43x = 1,566.91 × 638.09
  4. Step 4: Simplify right side
    1,135.43x = 999,828.44
  5. Step 5: Solve for x
    x = 999,828.44/1,135.43
  6. Step 6: Final answer
    x = 880.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.