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Finding the Fourth Proportional to 949.10, 1,309.78 and 550.77

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Solution

The fourth proportional to 949.10, 1,309.78 and 550.77 is: 760.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.10 : 1,309.78 = 550.77 : x
  2. Step 2: Convert to fraction form
    949.10/1,309.78 = 550.77/x
  3. Step 3: Cross multiply
    949.10x = 1,309.78 × 550.77
  4. Step 4: Simplify right side
    949.10x = 721,395.13
  5. Step 5: Solve for x
    x = 721,395.13/949.10
  6. Step 6: Final answer
    x = 760.08

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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.