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Finding the Fourth Proportional to 1,103.02, 1,654.80 and 779.02

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Solution

The fourth proportional to 1,103.02, 1,654.80 and 779.02 is: 1,168.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.02 : 1,654.80 = 779.02 : x
  2. Step 2: Convert to fraction form
    1,103.02/1,654.80 = 779.02/x
  3. Step 3: Cross multiply
    1,103.02x = 1,654.80 × 779.02
  4. Step 4: Simplify right side
    1,103.02x = 1,289,122.30
  5. Step 5: Solve for x
    x = 1,289,122.30/1,103.02
  6. Step 6: Final answer
    x = 1,168.72

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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.