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Finding the Fourth Proportional to 1,092.97, 1,637.29 and 543.47

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Solution

The fourth proportional to 1,092.97, 1,637.29 and 543.47 is: 814.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.97 : 1,637.29 = 543.47 : x
  2. Step 2: Convert to fraction form
    1,092.97/1,637.29 = 543.47/x
  3. Step 3: Cross multiply
    1,092.97x = 1,637.29 × 543.47
  4. Step 4: Simplify right side
    1,092.97x = 889,818.00
  5. Step 5: Solve for x
    x = 889,818.00/1,092.97
  6. Step 6: Final answer
    x = 814.13

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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.