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Finding the Fourth Proportional to 1,416.05, 2,120.65 and 720.89

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Solution

The fourth proportional to 1,416.05, 2,120.65 and 720.89 is: 1,079.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.05 : 2,120.65 = 720.89 : x
  2. Step 2: Convert to fraction form
    1,416.05/2,120.65 = 720.89/x
  3. Step 3: Cross multiply
    1,416.05x = 2,120.65 × 720.89
  4. Step 4: Simplify right side
    1,416.05x = 1,528,755.38
  5. Step 5: Solve for x
    x = 1,528,755.38/1,416.05
  6. Step 6: Final answer
    x = 1,079.59

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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.