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Finding the Fourth Proportional to 832.04, 1,249.45 and 798.93

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Solution

The fourth proportional to 832.04, 1,249.45 and 798.93 is: 1,199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.04 : 1,249.45 = 798.93 : x
  2. Step 2: Convert to fraction form
    832.04/1,249.45 = 798.93/x
  3. Step 3: Cross multiply
    832.04x = 1,249.45 × 798.93
  4. Step 4: Simplify right side
    832.04x = 998,212.85
  5. Step 5: Solve for x
    x = 998,212.85/832.04
  6. Step 6: Final answer
    x = 1,199.72

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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.