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Finding the Fourth Proportional to 1,049.90, 1,575.66 and 400.82

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Solution

The fourth proportional to 1,049.90, 1,575.66 and 400.82 is: 601.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.90 : 1,575.66 = 400.82 : x
  2. Step 2: Convert to fraction form
    1,049.90/1,575.66 = 400.82/x
  3. Step 3: Cross multiply
    1,049.90x = 1,575.66 × 400.82
  4. Step 4: Simplify right side
    1,049.90x = 631,556.04
  5. Step 5: Solve for x
    x = 631,556.04/1,049.90
  6. Step 6: Final answer
    x = 601.54

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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.