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Finding the Fourth Proportional to 1,105.30, 1,657.96 and 374.89

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Solution

The fourth proportional to 1,105.30, 1,657.96 and 374.89 is: 562.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.30 : 1,657.96 = 374.89 : x
  2. Step 2: Convert to fraction form
    1,105.30/1,657.96 = 374.89/x
  3. Step 3: Cross multiply
    1,105.30x = 1,657.96 × 374.89
  4. Step 4: Simplify right side
    1,105.30x = 621,552.62
  5. Step 5: Solve for x
    x = 621,552.62/1,105.30
  6. Step 6: Final answer
    x = 562.34

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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.