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Finding the Fourth Proportional to 727.93, 1,090.19 and 532.44

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Solution

The fourth proportional to 727.93, 1,090.19 and 532.44 is: 797.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.93 : 1,090.19 = 532.44 : x
  2. Step 2: Convert to fraction form
    727.93/1,090.19 = 532.44/x
  3. Step 3: Cross multiply
    727.93x = 1,090.19 × 532.44
  4. Step 4: Simplify right side
    727.93x = 580,460.76
  5. Step 5: Solve for x
    x = 580,460.76/727.93
  6. Step 6: Final answer
    x = 797.41

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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.