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Finding the Fourth Proportional to 949.72, 1,309.26 and 669.08

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Solution

The fourth proportional to 949.72, 1,309.26 and 669.08 is: 922.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.72 : 1,309.26 = 669.08 : x
  2. Step 2: Convert to fraction form
    949.72/1,309.26 = 669.08/x
  3. Step 3: Cross multiply
    949.72x = 1,309.26 × 669.08
  4. Step 4: Simplify right side
    949.72x = 875,999.68
  5. Step 5: Solve for x
    x = 875,999.68/949.72
  6. Step 6: Final answer
    x = 922.38

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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.