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Finding the Fourth Proportional to 996.54, 1,495.23 and 476.28

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Solution

The fourth proportional to 996.54, 1,495.23 and 476.28 is: 714.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.54 : 1,495.23 = 476.28 : x
  2. Step 2: Convert to fraction form
    996.54/1,495.23 = 476.28/x
  3. Step 3: Cross multiply
    996.54x = 1,495.23 × 476.28
  4. Step 4: Simplify right side
    996.54x = 712,146.36
  5. Step 5: Solve for x
    x = 712,146.36/996.54
  6. Step 6: Final answer
    x = 714.62

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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.