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Finding the Fourth Proportional to 1,166.64, 1,747.24 and 820.32

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Solution

The fourth proportional to 1,166.64, 1,747.24 and 820.32 is: 1,228.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.64 : 1,747.24 = 820.32 : x
  2. Step 2: Convert to fraction form
    1,166.64/1,747.24 = 820.32/x
  3. Step 3: Cross multiply
    1,166.64x = 1,747.24 × 820.32
  4. Step 4: Simplify right side
    1,166.64x = 1,433,295.92
  5. Step 5: Solve for x
    x = 1,433,295.92/1,166.64
  6. Step 6: Final answer
    x = 1,228.57

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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.