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Finding the Fourth Proportional to 976.08, 1,346.60 and 583.12

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Solution

The fourth proportional to 976.08, 1,346.60 and 583.12 is: 804.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.08 : 1,346.60 = 583.12 : x
  2. Step 2: Convert to fraction form
    976.08/1,346.60 = 583.12/x
  3. Step 3: Cross multiply
    976.08x = 1,346.60 × 583.12
  4. Step 4: Simplify right side
    976.08x = 785,229.39
  5. Step 5: Solve for x
    x = 785,229.39/976.08
  6. Step 6: Final answer
    x = 804.47

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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.