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Finding the Fourth Proportional to 1,105.07, 1,657.60 and 374.65

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Solution

The fourth proportional to 1,105.07, 1,657.60 and 374.65 is: 561.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.07 : 1,657.60 = 374.65 : x
  2. Step 2: Convert to fraction form
    1,105.07/1,657.60 = 374.65/x
  3. Step 3: Cross multiply
    1,105.07x = 1,657.60 × 374.65
  4. Step 4: Simplify right side
    1,105.07x = 621,014.76
  5. Step 5: Solve for x
    x = 621,014.76/1,105.07
  6. Step 6: Final answer
    x = 561.97

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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.