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Finding the Fourth Proportional to 1,102.68, 1,654.74 and 486.36

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Solution

The fourth proportional to 1,102.68, 1,654.74 and 486.36 is: 729.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.68 : 1,654.74 = 486.36 : x
  2. Step 2: Convert to fraction form
    1,102.68/1,654.74 = 486.36/x
  3. Step 3: Cross multiply
    1,102.68x = 1,654.74 × 486.36
  4. Step 4: Simplify right side
    1,102.68x = 804,799.35
  5. Step 5: Solve for x
    x = 804,799.35/1,102.68
  6. Step 6: Final answer
    x = 729.86

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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.