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Finding the Fourth Proportional to 727.94, 1,092.64 and 497.18

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Solution

The fourth proportional to 727.94, 1,092.64 and 497.18 is: 746.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.94 : 1,092.64 = 497.18 : x
  2. Step 2: Convert to fraction form
    727.94/1,092.64 = 497.18/x
  3. Step 3: Cross multiply
    727.94x = 1,092.64 × 497.18
  4. Step 4: Simplify right side
    727.94x = 543,238.76
  5. Step 5: Solve for x
    x = 543,238.76/727.94
  6. Step 6: Final answer
    x = 746.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.