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Finding the Fourth Proportional to 995.13, 1,493.01 and 468.09

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Solution

The fourth proportional to 995.13, 1,493.01 and 468.09 is: 702.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.13 : 1,493.01 = 468.09 : x
  2. Step 2: Convert to fraction form
    995.13/1,493.01 = 468.09/x
  3. Step 3: Cross multiply
    995.13x = 1,493.01 × 468.09
  4. Step 4: Simplify right side
    995.13x = 698,863.05
  5. Step 5: Solve for x
    x = 698,863.05/995.13
  6. Step 6: Final answer
    x = 702.28

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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.