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Finding the Fourth Proportional to 976.66, 1,348.26 and 603.86

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Solution

The fourth proportional to 976.66, 1,348.26 and 603.86 is: 833.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.66 : 1,348.26 = 603.86 : x
  2. Step 2: Convert to fraction form
    976.66/1,348.26 = 603.86/x
  3. Step 3: Cross multiply
    976.66x = 1,348.26 × 603.86
  4. Step 4: Simplify right side
    976.66x = 814,160.28
  5. Step 5: Solve for x
    x = 814,160.28/976.66
  6. Step 6: Final answer
    x = 833.62

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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.