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Finding the Fourth Proportional to 1,102.62, 1,653.97 and 362.25

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Solution

The fourth proportional to 1,102.62, 1,653.97 and 362.25 is: 543.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.62 : 1,653.97 = 362.25 : x
  2. Step 2: Convert to fraction form
    1,102.62/1,653.97 = 362.25/x
  3. Step 3: Cross multiply
    1,102.62x = 1,653.97 × 362.25
  4. Step 4: Simplify right side
    1,102.62x = 599,145.75
  5. Step 5: Solve for x
    x = 599,145.75/1,102.62
  6. Step 6: Final answer
    x = 543.38

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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.