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Finding the Fourth Proportional to 995.72, 1,493.88 and 346.50

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Solution

The fourth proportional to 995.72, 1,493.88 and 346.50 is: 519.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.72 : 1,493.88 = 346.50 : x
  2. Step 2: Convert to fraction form
    995.72/1,493.88 = 346.50/x
  3. Step 3: Cross multiply
    995.72x = 1,493.88 × 346.50
  4. Step 4: Simplify right side
    995.72x = 517,628.12
  5. Step 5: Solve for x
    x = 517,628.12/995.72
  6. Step 6: Final answer
    x = 519.86

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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.