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Finding the Fourth Proportional to 1,101.42, 1,651.74 and 553.44

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Solution

The fourth proportional to 1,101.42, 1,651.74 and 553.44 is: 829.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.42 : 1,651.74 = 553.44 : x
  2. Step 2: Convert to fraction form
    1,101.42/1,651.74 = 553.44/x
  3. Step 3: Cross multiply
    1,101.42x = 1,651.74 × 553.44
  4. Step 4: Simplify right side
    1,101.42x = 914,138.99
  5. Step 5: Solve for x
    x = 914,138.99/1,101.42
  6. Step 6: Final answer
    x = 829.96

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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.