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Finding the Fourth Proportional to 977.72, 1,349.66 and 604.58

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Solution

The fourth proportional to 977.72, 1,349.66 and 604.58 is: 834.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.72 : 1,349.66 = 604.58 : x
  2. Step 2: Convert to fraction form
    977.72/1,349.66 = 604.58/x
  3. Step 3: Cross multiply
    977.72x = 1,349.66 × 604.58
  4. Step 4: Simplify right side
    977.72x = 815,974.42
  5. Step 5: Solve for x
    x = 815,974.42/977.72
  6. Step 6: Final answer
    x = 834.57

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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.