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Finding the Fourth Proportional to 1,166.16, 1,609.47 and 669

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Solution

The fourth proportional to 1,166.16, 1,609.47 and 669 is: 923.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.16 : 1,609.47 = 669 : x
  2. Step 2: Convert to fraction form
    1,166.16/1,609.47 = 669/x
  3. Step 3: Cross multiply
    1,166.16x = 1,609.47 × 669
  4. Step 4: Simplify right side
    1,166.16x = 1,076,735.43
  5. Step 5: Solve for x
    x = 1,076,735.43/1,166.16
  6. Step 6: Final answer
    x = 923.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.