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Finding the Fourth Proportional to 1,103.30, 1,654.47 and 333.62

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Solution

The fourth proportional to 1,103.30, 1,654.47 and 333.62 is: 500.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.30 : 1,654.47 = 333.62 : x
  2. Step 2: Convert to fraction form
    1,103.30/1,654.47 = 333.62/x
  3. Step 3: Cross multiply
    1,103.30x = 1,654.47 × 333.62
  4. Step 4: Simplify right side
    1,103.30x = 551,964.28
  5. Step 5: Solve for x
    x = 551,964.28/1,103.30
  6. Step 6: Final answer
    x = 500.28

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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.