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Finding the Fourth Proportional to 1,166.25, 1,609.50 and 669.05

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Solution

The fourth proportional to 1,166.25, 1,609.50 and 669.05 is: 923.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.25 : 1,609.50 = 669.05 : x
  2. Step 2: Convert to fraction form
    1,166.25/1,609.50 = 669.05/x
  3. Step 3: Cross multiply
    1,166.25x = 1,609.50 × 669.05
  4. Step 4: Simplify right side
    1,166.25x = 1,076,827.93
  5. Step 5: Solve for x
    x = 1,076,827.93/1,166.25
  6. Step 6: Final answer
    x = 923.33

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