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Finding the Fourth Proportional to 1,161.35, 1,742.02 and 295.66

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Solution

The fourth proportional to 1,161.35, 1,742.02 and 295.66 is: 443.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.35 : 1,742.02 = 295.66 : x
  2. Step 2: Convert to fraction form
    1,161.35/1,742.02 = 295.66/x
  3. Step 3: Cross multiply
    1,161.35x = 1,742.02 × 295.66
  4. Step 4: Simplify right side
    1,161.35x = 515,045.63
  5. Step 5: Solve for x
    x = 515,045.63/1,161.35
  6. Step 6: Final answer
    x = 443.49

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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.