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Finding the Fourth Proportional to 832.07, 1,248.43 and 345

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Solution

The fourth proportional to 832.07, 1,248.43 and 345 is: 517.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.07 : 1,248.43 = 345 : x
  2. Step 2: Convert to fraction form
    832.07/1,248.43 = 345/x
  3. Step 3: Cross multiply
    832.07x = 1,248.43 × 345
  4. Step 4: Simplify right side
    832.07x = 430,708.35
  5. Step 5: Solve for x
    x = 430,708.35/832.07
  6. Step 6: Final answer
    x = 517.63

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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.