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Finding the Fourth Proportional to 689.78, 1,033.08 and 415.27

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Solution

The fourth proportional to 689.78, 1,033.08 and 415.27 is: 621.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.78 : 1,033.08 = 415.27 : x
  2. Step 2: Convert to fraction form
    689.78/1,033.08 = 415.27/x
  3. Step 3: Cross multiply
    689.78x = 1,033.08 × 415.27
  4. Step 4: Simplify right side
    689.78x = 429,005.13
  5. Step 5: Solve for x
    x = 429,005.13/689.78
  6. Step 6: Final answer
    x = 621.94

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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.