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Finding the Fourth Proportional to 949.17, 1,309.82 and 556.20

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Solution

The fourth proportional to 949.17, 1,309.82 and 556.20 is: 767.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.17 : 1,309.82 = 556.20 : x
  2. Step 2: Convert to fraction form
    949.17/1,309.82 = 556.20/x
  3. Step 3: Cross multiply
    949.17x = 1,309.82 × 556.20
  4. Step 4: Simplify right side
    949.17x = 728,521.88
  5. Step 5: Solve for x
    x = 728,521.88/949.17
  6. Step 6: Final answer
    x = 767.54

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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.