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Finding the Fourth Proportional to 1,103.39, 1,654.76 and 486.94

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Solution

The fourth proportional to 1,103.39, 1,654.76 and 486.94 is: 730.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.39 : 1,654.76 = 486.94 : x
  2. Step 2: Convert to fraction form
    1,103.39/1,654.76 = 486.94/x
  3. Step 3: Cross multiply
    1,103.39x = 1,654.76 × 486.94
  4. Step 4: Simplify right side
    1,103.39x = 805,765.91
  5. Step 5: Solve for x
    x = 805,765.91/1,103.39
  6. Step 6: Final answer
    x = 730.26

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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.