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Finding the Fourth Proportional to 948.08, 1,309.56 and 727.76

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Solution

The fourth proportional to 948.08, 1,309.56 and 727.76 is: 1,005.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.08 : 1,309.56 = 727.76 : x
  2. Step 2: Convert to fraction form
    948.08/1,309.56 = 727.76/x
  3. Step 3: Cross multiply
    948.08x = 1,309.56 × 727.76
  4. Step 4: Simplify right side
    948.08x = 953,045.39
  5. Step 5: Solve for x
    x = 953,045.39/948.08
  6. Step 6: Final answer
    x = 1,005.24

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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.