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Finding the Fourth Proportional to 976, 1,346.84 and 533.92

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Solution

The fourth proportional to 976, 1,346.84 and 533.92 is: 736.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    976 : 1,346.84 = 533.92 : x
  2. Step 2: Convert to fraction form
    976/1,346.84 = 533.92/x
  3. Step 3: Cross multiply
    976x = 1,346.84 × 533.92
  4. Step 4: Simplify right side
    976x = 719,104.81
  5. Step 5: Solve for x
    x = 719,104.81/976
  6. Step 6: Final answer
    x = 736.79

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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.