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Finding the Fourth Proportional to 1,049.92, 1,575.15 and 433.42

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Solution

The fourth proportional to 1,049.92, 1,575.15 and 433.42 is: 650.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.92 : 1,575.15 = 433.42 : x
  2. Step 2: Convert to fraction form
    1,049.92/1,575.15 = 433.42/x
  3. Step 3: Cross multiply
    1,049.92x = 1,575.15 × 433.42
  4. Step 4: Simplify right side
    1,049.92x = 682,701.51
  5. Step 5: Solve for x
    x = 682,701.51/1,049.92
  6. Step 6: Final answer
    x = 650.24

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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.