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Finding the Fourth Proportional to 1,161.66, 1,742.56 and 468.33

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Solution

The fourth proportional to 1,161.66, 1,742.56 and 468.33 is: 702.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.66 : 1,742.56 = 468.33 : x
  2. Step 2: Convert to fraction form
    1,161.66/1,742.56 = 468.33/x
  3. Step 3: Cross multiply
    1,161.66x = 1,742.56 × 468.33
  4. Step 4: Simplify right side
    1,161.66x = 816,093.12
  5. Step 5: Solve for x
    x = 816,093.12/1,161.66
  6. Step 6: Final answer
    x = 702.52

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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.