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Finding the Fourth Proportional to 1,512.90, 2,269.44 and 473.09

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Solution

The fourth proportional to 1,512.90, 2,269.44 and 473.09 is: 709.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.90 : 2,269.44 = 473.09 : x
  2. Step 2: Convert to fraction form
    1,512.90/2,269.44 = 473.09/x
  3. Step 3: Cross multiply
    1,512.90x = 2,269.44 × 473.09
  4. Step 4: Simplify right side
    1,512.90x = 1,073,638.02
  5. Step 5: Solve for x
    x = 1,073,638.02/1,512.90
  6. Step 6: Final answer
    x = 709.66

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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.