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Finding the Fourth Proportional to 1,091.93, 1,638.24 and 362.02

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Solution

The fourth proportional to 1,091.93, 1,638.24 and 362.02 is: 543.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.93 : 1,638.24 = 362.02 : x
  2. Step 2: Convert to fraction form
    1,091.93/1,638.24 = 362.02/x
  3. Step 3: Cross multiply
    1,091.93x = 1,638.24 × 362.02
  4. Step 4: Simplify right side
    1,091.93x = 593,065.64
  5. Step 5: Solve for x
    x = 593,065.64/1,091.93
  6. Step 6: Final answer
    x = 543.14

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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.