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Finding the Fourth Proportional to 995.34, 1,493.08 and 475.62

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Solution

The fourth proportional to 995.34, 1,493.08 and 475.62 is: 713.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.34 : 1,493.08 = 475.62 : x
  2. Step 2: Convert to fraction form
    995.34/1,493.08 = 475.62/x
  3. Step 3: Cross multiply
    995.34x = 1,493.08 × 475.62
  4. Step 4: Simplify right side
    995.34x = 710,143.00
  5. Step 5: Solve for x
    x = 710,143.00/995.34
  6. Step 6: Final answer
    x = 713.47

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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.