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Finding the Fourth Proportional to 995.44, 1,492.25 and 508.38

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Solution

The fourth proportional to 995.44, 1,492.25 and 508.38 is: 762.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.44 : 1,492.25 = 508.38 : x
  2. Step 2: Convert to fraction form
    995.44/1,492.25 = 508.38/x
  3. Step 3: Cross multiply
    995.44x = 1,492.25 × 508.38
  4. Step 4: Simplify right side
    995.44x = 758,623.35
  5. Step 5: Solve for x
    x = 758,623.35/995.44
  6. Step 6: Final answer
    x = 762.10

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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.