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Finding the Fourth Proportional to 976.59, 1,348.17 and 603.66

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Solution

The fourth proportional to 976.59, 1,348.17 and 603.66 is: 833.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.59 : 1,348.17 = 603.66 : x
  2. Step 2: Convert to fraction form
    976.59/1,348.17 = 603.66/x
  3. Step 3: Cross multiply
    976.59x = 1,348.17 × 603.66
  4. Step 4: Simplify right side
    976.59x = 813,836.30
  5. Step 5: Solve for x
    x = 813,836.30/976.59
  6. Step 6: Final answer
    x = 833.34

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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.