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Finding the Fourth Proportional to 1,092.06, 1,637.74 and 361.48

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Solution

The fourth proportional to 1,092.06, 1,637.74 and 361.48 is: 542.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.06 : 1,637.74 = 361.48 : x
  2. Step 2: Convert to fraction form
    1,092.06/1,637.74 = 361.48/x
  3. Step 3: Cross multiply
    1,092.06x = 1,637.74 × 361.48
  4. Step 4: Simplify right side
    1,092.06x = 592,010.26
  5. Step 5: Solve for x
    x = 592,010.26/1,092.06
  6. Step 6: Final answer
    x = 542.10

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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.