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Finding the Fourth Proportional to 949.02, 1,309.73 and 556.17

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Solution

The fourth proportional to 949.02, 1,309.73 and 556.17 is: 767.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.02 : 1,309.73 = 556.17 : x
  2. Step 2: Convert to fraction form
    949.02/1,309.73 = 556.17/x
  3. Step 3: Cross multiply
    949.02x = 1,309.73 × 556.17
  4. Step 4: Simplify right side
    949.02x = 728,429.75
  5. Step 5: Solve for x
    x = 728,429.75/949.02
  6. Step 6: Final answer
    x = 767.56

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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.