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Finding the Fourth Proportional to 1,055.44, 1,581.76 and 917.83

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Solution

The fourth proportional to 1,055.44, 1,581.76 and 917.83 is: 1,375.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.44 : 1,581.76 = 917.83 : x
  2. Step 2: Convert to fraction form
    1,055.44/1,581.76 = 917.83/x
  3. Step 3: Cross multiply
    1,055.44x = 1,581.76 × 917.83
  4. Step 4: Simplify right side
    1,055.44x = 1,451,786.78
  5. Step 5: Solve for x
    x = 1,451,786.78/1,055.44
  6. Step 6: Final answer
    x = 1,375.53

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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.