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Finding the Fourth Proportional to 995.58, 1,492.05 and 447.66

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Solution

The fourth proportional to 995.58, 1,492.05 and 447.66 is: 670.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.58 : 1,492.05 = 447.66 : x
  2. Step 2: Convert to fraction form
    995.58/1,492.05 = 447.66/x
  3. Step 3: Cross multiply
    995.58x = 1,492.05 × 447.66
  4. Step 4: Simplify right side
    995.58x = 667,931.10
  5. Step 5: Solve for x
    x = 667,931.10/995.58
  6. Step 6: Final answer
    x = 670.90

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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.