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Finding the Fourth Proportional to 1,379.75, 1,904.15 and 758.75

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Solution

The fourth proportional to 1,379.75, 1,904.15 and 758.75 is: 1,047.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.75 : 1,904.15 = 758.75 : x
  2. Step 2: Convert to fraction form
    1,379.75/1,904.15 = 758.75/x
  3. Step 3: Cross multiply
    1,379.75x = 1,904.15 × 758.75
  4. Step 4: Simplify right side
    1,379.75x = 1,444,773.81
  5. Step 5: Solve for x
    x = 1,444,773.81/1,379.75
  6. Step 6: Final answer
    x = 1,047.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.