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Finding the Fourth Proportional to 949.23, 1,309.83 and 529.60

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Solution

The fourth proportional to 949.23, 1,309.83 and 529.60 is: 730.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.23 : 1,309.83 = 529.60 : x
  2. Step 2: Convert to fraction form
    949.23/1,309.83 = 529.60/x
  3. Step 3: Cross multiply
    949.23x = 1,309.83 × 529.60
  4. Step 4: Simplify right side
    949.23x = 693,680.97
  5. Step 5: Solve for x
    x = 693,680.97/949.23
  6. Step 6: Final answer
    x = 730.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.