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Finding the Fourth Proportional to 995.66, 1,493.50 and 346.39

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Solution

The fourth proportional to 995.66, 1,493.50 and 346.39 is: 519.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.66 : 1,493.50 = 346.39 : x
  2. Step 2: Convert to fraction form
    995.66/1,493.50 = 346.39/x
  3. Step 3: Cross multiply
    995.66x = 1,493.50 × 346.39
  4. Step 4: Simplify right side
    995.66x = 517,337.92
  5. Step 5: Solve for x
    x = 517,337.92/995.66
  6. Step 6: Final answer
    x = 519.59

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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.