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Finding the Fourth Proportional to 995.56, 1,492.62 and 610

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Solution

The fourth proportional to 995.56, 1,492.62 and 610 is: 914.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.56 : 1,492.62 = 610 : x
  2. Step 2: Convert to fraction form
    995.56/1,492.62 = 610/x
  3. Step 3: Cross multiply
    995.56x = 1,492.62 × 610
  4. Step 4: Simplify right side
    995.56x = 910,498.20
  5. Step 5: Solve for x
    x = 910,498.20/995.56
  6. Step 6: Final answer
    x = 914.56

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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.