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Finding the Fourth Proportional to 1,103.11, 1,654.46 and 322.94

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Solution

The fourth proportional to 1,103.11, 1,654.46 and 322.94 is: 484.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.11 : 1,654.46 = 322.94 : x
  2. Step 2: Convert to fraction form
    1,103.11/1,654.46 = 322.94/x
  3. Step 3: Cross multiply
    1,103.11x = 1,654.46 × 322.94
  4. Step 4: Simplify right side
    1,103.11x = 534,291.31
  5. Step 5: Solve for x
    x = 534,291.31/1,103.11
  6. Step 6: Final answer
    x = 484.35

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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.