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Finding the Fourth Proportional to 996.10, 1,492.98 and 476.20

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Solution

The fourth proportional to 996.10, 1,492.98 and 476.20 is: 713.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.10 : 1,492.98 = 476.20 : x
  2. Step 2: Convert to fraction form
    996.10/1,492.98 = 476.20/x
  3. Step 3: Cross multiply
    996.10x = 1,492.98 × 476.20
  4. Step 4: Simplify right side
    996.10x = 710,957.08
  5. Step 5: Solve for x
    x = 710,957.08/996.10
  6. Step 6: Final answer
    x = 713.74

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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.