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Finding the Fourth Proportional to 948.62, 1,309.70 and 727.16

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Solution

The fourth proportional to 948.62, 1,309.70 and 727.16 is: 1,003.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.62 : 1,309.70 = 727.16 : x
  2. Step 2: Convert to fraction form
    948.62/1,309.70 = 727.16/x
  3. Step 3: Cross multiply
    948.62x = 1,309.70 × 727.16
  4. Step 4: Simplify right side
    948.62x = 952,356.72
  5. Step 5: Solve for x
    x = 952,356.72/948.62
  6. Step 6: Final answer
    x = 1,003.94

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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.