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Finding the Fourth Proportional to 977.72, 1,349.26 and 604.62

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Solution

The fourth proportional to 977.72, 1,349.26 and 604.62 is: 834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.72 : 1,349.26 = 604.62 : x
  2. Step 2: Convert to fraction form
    977.72/1,349.26 = 604.62/x
  3. Step 3: Cross multiply
    977.72x = 1,349.26 × 604.62
  4. Step 4: Simplify right side
    977.72x = 815,789.58
  5. Step 5: Solve for x
    x = 815,789.58/977.72
  6. Step 6: Final answer
    x = 834.38

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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.