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Finding the Fourth Proportional to 1,328.14, 1,991.62 and 669.60

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Solution

The fourth proportional to 1,328.14, 1,991.62 and 669.60 is: 1,004.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.14 : 1,991.62 = 669.60 : x
  2. Step 2: Convert to fraction form
    1,328.14/1,991.62 = 669.60/x
  3. Step 3: Cross multiply
    1,328.14x = 1,991.62 × 669.60
  4. Step 4: Simplify right side
    1,328.14x = 1,333,588.75
  5. Step 5: Solve for x
    x = 1,333,588.75/1,328.14
  6. Step 6: Final answer
    x = 1,004.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.