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Finding the Fourth Proportional to 1,105.04, 1,535.18 and 1,094.90

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Solution

The fourth proportional to 1,105.04, 1,535.18 and 1,094.90 is: 1,521.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.04 : 1,535.18 = 1,094.90 : x
  2. Step 2: Convert to fraction form
    1,105.04/1,535.18 = 1,094.90/x
  3. Step 3: Cross multiply
    1,105.04x = 1,535.18 × 1,094.90
  4. Step 4: Simplify right side
    1,105.04x = 1,680,868.58
  5. Step 5: Solve for x
    x = 1,680,868.58/1,105.04
  6. Step 6: Final answer
    x = 1,521.09

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.