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Finding the Fourth Proportional to 727.83, 1,092.53 and 403.47

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Solution

The fourth proportional to 727.83, 1,092.53 and 403.47 is: 605.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.83 : 1,092.53 = 403.47 : x
  2. Step 2: Convert to fraction form
    727.83/1,092.53 = 403.47/x
  3. Step 3: Cross multiply
    727.83x = 1,092.53 × 403.47
  4. Step 4: Simplify right side
    727.83x = 440,801.06
  5. Step 5: Solve for x
    x = 440,801.06/727.83
  6. Step 6: Final answer
    x = 605.64

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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.