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Finding the Fourth Proportional to 1,103.40, 1,656.45 and 1,095.30

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Solution

The fourth proportional to 1,103.40, 1,656.45 and 1,095.30 is: 1,644.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.40 : 1,656.45 = 1,095.30 : x
  2. Step 2: Convert to fraction form
    1,103.40/1,656.45 = 1,095.30/x
  3. Step 3: Cross multiply
    1,103.40x = 1,656.45 × 1,095.30
  4. Step 4: Simplify right side
    1,103.40x = 1,814,309.69
  5. Step 5: Solve for x
    x = 1,814,309.69/1,103.40
  6. Step 6: Final answer
    x = 1,644.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.