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Finding the Fourth Proportional to 1,141.24, 1,575.02 and 699.42

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Solution

The fourth proportional to 1,141.24, 1,575.02 and 699.42 is: 965.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.24 : 1,575.02 = 699.42 : x
  2. Step 2: Convert to fraction form
    1,141.24/1,575.02 = 699.42/x
  3. Step 3: Cross multiply
    1,141.24x = 1,575.02 × 699.42
  4. Step 4: Simplify right side
    1,141.24x = 1,101,600.49
  5. Step 5: Solve for x
    x = 1,101,600.49/1,141.24
  6. Step 6: Final answer
    x = 965.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.