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Finding the Fourth Proportional to 1,784.13, 2,675.89 and 485.60

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Solution

The fourth proportional to 1,784.13, 2,675.89 and 485.60 is: 728.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.13 : 2,675.89 = 485.60 : x
  2. Step 2: Convert to fraction form
    1,784.13/2,675.89 = 485.60/x
  3. Step 3: Cross multiply
    1,784.13x = 2,675.89 × 485.60
  4. Step 4: Simplify right side
    1,784.13x = 1,299,396.68
  5. Step 5: Solve for x
    x = 1,299,396.68/1,784.13
  6. Step 6: Final answer
    x = 728.31

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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.