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Finding the Fourth Proportional to 832.08, 1,247.16 and 344.53

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Solution

The fourth proportional to 832.08, 1,247.16 and 344.53 is: 516.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.08 : 1,247.16 = 344.53 : x
  2. Step 2: Convert to fraction form
    832.08/1,247.16 = 344.53/x
  3. Step 3: Cross multiply
    832.08x = 1,247.16 × 344.53
  4. Step 4: Simplify right side
    832.08x = 429,686.89
  5. Step 5: Solve for x
    x = 429,686.89/832.08
  6. Step 6: Final answer
    x = 516.40

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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.