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Finding the Fourth Proportional to 995.79, 1,493.42 and 447.65

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Solution

The fourth proportional to 995.79, 1,493.42 and 447.65 is: 671.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.79 : 1,493.42 = 447.65 : x
  2. Step 2: Convert to fraction form
    995.79/1,493.42 = 447.65/x
  3. Step 3: Cross multiply
    995.79x = 1,493.42 × 447.65
  4. Step 4: Simplify right side
    995.79x = 668,519.76
  5. Step 5: Solve for x
    x = 668,519.76/995.79
  6. Step 6: Final answer
    x = 671.35

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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.