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Finding the Fourth Proportional to 995.13, 1,493.10 and 532.89

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Solution

The fourth proportional to 995.13, 1,493.10 and 532.89 is: 799.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.13 : 1,493.10 = 532.89 : x
  2. Step 2: Convert to fraction form
    995.13/1,493.10 = 532.89/x
  3. Step 3: Cross multiply
    995.13x = 1,493.10 × 532.89
  4. Step 4: Simplify right side
    995.13x = 795,658.06
  5. Step 5: Solve for x
    x = 795,658.06/995.13
  6. Step 6: Final answer
    x = 799.55

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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.