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Finding the Fourth Proportional to 995.80, 1,492.42 and 766.68

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Solution

The fourth proportional to 995.80, 1,492.42 and 766.68 is: 1,149.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.80 : 1,492.42 = 766.68 : x
  2. Step 2: Convert to fraction form
    995.80/1,492.42 = 766.68/x
  3. Step 3: Cross multiply
    995.80x = 1,492.42 × 766.68
  4. Step 4: Simplify right side
    995.80x = 1,144,208.57
  5. Step 5: Solve for x
    x = 1,144,208.57/995.80
  6. Step 6: Final answer
    x = 1,149.03

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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.