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Finding the Fourth Proportional to 1,091.51, 1,637.49 and 361.59

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Solution

The fourth proportional to 1,091.51, 1,637.49 and 361.59 is: 542.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.51 : 1,637.49 = 361.59 : x
  2. Step 2: Convert to fraction form
    1,091.51/1,637.49 = 361.59/x
  3. Step 3: Cross multiply
    1,091.51x = 1,637.49 × 361.59
  4. Step 4: Simplify right side
    1,091.51x = 592,100.01
  5. Step 5: Solve for x
    x = 592,100.01/1,091.51
  6. Step 6: Final answer
    x = 542.46

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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.