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Finding the Fourth Proportional to 995.94, 1,493.52 and 410.88

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Solution

The fourth proportional to 995.94, 1,493.52 and 410.88 is: 616.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.94 : 1,493.52 = 410.88 : x
  2. Step 2: Convert to fraction form
    995.94/1,493.52 = 410.88/x
  3. Step 3: Cross multiply
    995.94x = 1,493.52 × 410.88
  4. Step 4: Simplify right side
    995.94x = 613,657.50
  5. Step 5: Solve for x
    x = 613,657.50/995.94
  6. Step 6: Final answer
    x = 616.16

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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.