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Finding the Fourth Proportional to 1,161.10, 1,741.64 and 295.41

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Solution

The fourth proportional to 1,161.10, 1,741.64 and 295.41 is: 443.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.10 : 1,741.64 = 295.41 : x
  2. Step 2: Convert to fraction form
    1,161.10/1,741.64 = 295.41/x
  3. Step 3: Cross multiply
    1,161.10x = 1,741.64 × 295.41
  4. Step 4: Simplify right side
    1,161.10x = 514,497.87
  5. Step 5: Solve for x
    x = 514,497.87/1,161.10
  6. Step 6: Final answer
    x = 443.11

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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.