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Finding the Fourth Proportional to 949.47, 1,309.01 and 852.27

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Solution

The fourth proportional to 949.47, 1,309.01 and 852.27 is: 1,175.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.47 : 1,309.01 = 852.27 : x
  2. Step 2: Convert to fraction form
    949.47/1,309.01 = 852.27/x
  3. Step 3: Cross multiply
    949.47x = 1,309.01 × 852.27
  4. Step 4: Simplify right side
    949.47x = 1,115,625.69
  5. Step 5: Solve for x
    x = 1,115,625.69/949.47
  6. Step 6: Final answer
    x = 1,175.00

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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.