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Finding the Fourth Proportional to 1,103.12, 1,648.20 and 1,064.85

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Solution

The fourth proportional to 1,103.12, 1,648.20 and 1,064.85 is: 1,591.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.12 : 1,648.20 = 1,064.85 : x
  2. Step 2: Convert to fraction form
    1,103.12/1,648.20 = 1,064.85/x
  3. Step 3: Cross multiply
    1,103.12x = 1,648.20 × 1,064.85
  4. Step 4: Simplify right side
    1,103.12x = 1,755,085.77
  5. Step 5: Solve for x
    x = 1,755,085.77/1,103.12
  6. Step 6: Final answer
    x = 1,591.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.