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Finding the Fourth Proportional to 1,379.03, 2,064.69 and 719.47

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Solution

The fourth proportional to 1,379.03, 2,064.69 and 719.47 is: 1,077.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.03 : 2,064.69 = 719.47 : x
  2. Step 2: Convert to fraction form
    1,379.03/2,064.69 = 719.47/x
  3. Step 3: Cross multiply
    1,379.03x = 2,064.69 × 719.47
  4. Step 4: Simplify right side
    1,379.03x = 1,485,473.48
  5. Step 5: Solve for x
    x = 1,485,473.48/1,379.03
  6. Step 6: Final answer
    x = 1,077.19

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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.