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Finding the Fourth Proportional to 976.24, 1,347.23 and 583.49

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Solution

The fourth proportional to 976.24, 1,347.23 and 583.49 is: 805.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.24 : 1,347.23 = 583.49 : x
  2. Step 2: Convert to fraction form
    976.24/1,347.23 = 583.49/x
  3. Step 3: Cross multiply
    976.24x = 1,347.23 × 583.49
  4. Step 4: Simplify right side
    976.24x = 786,091.86
  5. Step 5: Solve for x
    x = 786,091.86/976.24
  6. Step 6: Final answer
    x = 805.23

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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.