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Finding the Fourth Proportional to 832.65, 1,249.13 and 345.74

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Solution

The fourth proportional to 832.65, 1,249.13 and 345.74 is: 518.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.65 : 1,249.13 = 345.74 : x
  2. Step 2: Convert to fraction form
    832.65/1,249.13 = 345.74/x
  3. Step 3: Cross multiply
    832.65x = 1,249.13 × 345.74
  4. Step 4: Simplify right side
    832.65x = 431,874.21
  5. Step 5: Solve for x
    x = 431,874.21/832.65
  6. Step 6: Final answer
    x = 518.67

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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.