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Finding the Fourth Proportional to 995.26, 1,492.97 and 264.83

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Solution

The fourth proportional to 995.26, 1,492.97 and 264.83 is: 397.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.26 : 1,492.97 = 264.83 : x
  2. Step 2: Convert to fraction form
    995.26/1,492.97 = 264.83/x
  3. Step 3: Cross multiply
    995.26x = 1,492.97 × 264.83
  4. Step 4: Simplify right side
    995.26x = 395,386.07
  5. Step 5: Solve for x
    x = 395,386.07/995.26
  6. Step 6: Final answer
    x = 397.27

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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.