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Finding the Fourth Proportional to 1,379.72, 1,903.92 and 782.32

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Solution

The fourth proportional to 1,379.72, 1,903.92 and 782.32 is: 1,079.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.72 : 1,903.92 = 782.32 : x
  2. Step 2: Convert to fraction form
    1,379.72/1,903.92 = 782.32/x
  3. Step 3: Cross multiply
    1,379.72x = 1,903.92 × 782.32
  4. Step 4: Simplify right side
    1,379.72x = 1,489,474.69
  5. Step 5: Solve for x
    x = 1,489,474.69/1,379.72
  6. Step 6: Final answer
    x = 1,079.55

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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.