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Finding the Fourth Proportional to 1,105.46, 1,658.32 and 365.18

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Solution

The fourth proportional to 1,105.46, 1,658.32 and 365.18 is: 547.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.46 : 1,658.32 = 365.18 : x
  2. Step 2: Convert to fraction form
    1,105.46/1,658.32 = 365.18/x
  3. Step 3: Cross multiply
    1,105.46x = 1,658.32 × 365.18
  4. Step 4: Simplify right side
    1,105.46x = 605,585.30
  5. Step 5: Solve for x
    x = 605,585.30/1,105.46
  6. Step 6: Final answer
    x = 547.81

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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.