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Finding the Fourth Proportional to 1,161.34, 1,742.97 and 477.82

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Solution

The fourth proportional to 1,161.34, 1,742.97 and 477.82 is: 717.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.34 : 1,742.97 = 477.82 : x
  2. Step 2: Convert to fraction form
    1,161.34/1,742.97 = 477.82/x
  3. Step 3: Cross multiply
    1,161.34x = 1,742.97 × 477.82
  4. Step 4: Simplify right side
    1,161.34x = 832,825.93
  5. Step 5: Solve for x
    x = 832,825.93/1,161.34
  6. Step 6: Final answer
    x = 717.12

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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.