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Finding the Fourth Proportional to 1,165.20, 1,603.80 and 1,100.40

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Solution

The fourth proportional to 1,165.20, 1,603.80 and 1,100.40 is: 1,514.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.20 : 1,603.80 = 1,100.40 : x
  2. Step 2: Convert to fraction form
    1,165.20/1,603.80 = 1,100.40/x
  3. Step 3: Cross multiply
    1,165.20x = 1,603.80 × 1,100.40
  4. Step 4: Simplify right side
    1,165.20x = 1,764,821.52
  5. Step 5: Solve for x
    x = 1,764,821.52/1,165.20
  6. Step 6: Final answer
    x = 1,514.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.