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Finding the Fourth Proportional to 1,102.35, 1,653.77 and 361.99

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Solution

The fourth proportional to 1,102.35, 1,653.77 and 361.99 is: 543.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.35 : 1,653.77 = 361.99 : x
  2. Step 2: Convert to fraction form
    1,102.35/1,653.77 = 361.99/x
  3. Step 3: Cross multiply
    1,102.35x = 1,653.77 × 361.99
  4. Step 4: Simplify right side
    1,102.35x = 598,648.20
  5. Step 5: Solve for x
    x = 598,648.20/1,102.35
  6. Step 6: Final answer
    x = 543.07

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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.