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Finding the Fourth Proportional to 1,161.72, 1,742.04 and 468.36

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Solution

The fourth proportional to 1,161.72, 1,742.04 and 468.36 is: 702.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.72 : 1,742.04 = 468.36 : x
  2. Step 2: Convert to fraction form
    1,161.72/1,742.04 = 468.36/x
  3. Step 3: Cross multiply
    1,161.72x = 1,742.04 × 468.36
  4. Step 4: Simplify right side
    1,161.72x = 815,901.85
  5. Step 5: Solve for x
    x = 815,901.85/1,161.72
  6. Step 6: Final answer
    x = 702.32

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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.