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Finding the Fourth Proportional to 1,105.46, 1,657.75 and 365.04

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Solution

The fourth proportional to 1,105.46, 1,657.75 and 365.04 is: 547.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.46 : 1,657.75 = 365.04 : x
  2. Step 2: Convert to fraction form
    1,105.46/1,657.75 = 365.04/x
  3. Step 3: Cross multiply
    1,105.46x = 1,657.75 × 365.04
  4. Step 4: Simplify right side
    1,105.46x = 605,136.77
  5. Step 5: Solve for x
    x = 605,136.77/1,105.46
  6. Step 6: Final answer
    x = 547.41

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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.