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Finding the Fourth Proportional to 977.36, 1,348.38 and 604.22

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Solution

The fourth proportional to 977.36, 1,348.38 and 604.22 is: 833.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.36 : 1,348.38 = 604.22 : x
  2. Step 2: Convert to fraction form
    977.36/1,348.38 = 604.22/x
  3. Step 3: Cross multiply
    977.36x = 1,348.38 × 604.22
  4. Step 4: Simplify right side
    977.36x = 814,711.42
  5. Step 5: Solve for x
    x = 814,711.42/977.36
  6. Step 6: Final answer
    x = 833.59

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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.