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Finding the Fourth Proportional to 1,285.22, 1,928.96 and 669.34

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Solution

The fourth proportional to 1,285.22, 1,928.96 and 669.34 is: 1,004.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.22 : 1,928.96 = 669.34 : x
  2. Step 2: Convert to fraction form
    1,285.22/1,928.96 = 669.34/x
  3. Step 3: Cross multiply
    1,285.22x = 1,928.96 × 669.34
  4. Step 4: Simplify right side
    1,285.22x = 1,291,130.09
  5. Step 5: Solve for x
    x = 1,291,130.09/1,285.22
  6. Step 6: Final answer
    x = 1,004.60

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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.