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Finding the Fourth Proportional to 727.68, 1,003.14 and 552.72

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Solution

The fourth proportional to 727.68, 1,003.14 and 552.72 is: 761.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.68 : 1,003.14 = 552.72 : x
  2. Step 2: Convert to fraction form
    727.68/1,003.14 = 552.72/x
  3. Step 3: Cross multiply
    727.68x = 1,003.14 × 552.72
  4. Step 4: Simplify right side
    727.68x = 554,455.54
  5. Step 5: Solve for x
    x = 554,455.54/727.68
  6. Step 6: Final answer
    x = 761.95

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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.