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Finding the Fourth Proportional to 1,293.26, 1,784.67 and 703.79

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Solution

The fourth proportional to 1,293.26, 1,784.67 and 703.79 is: 971.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.26 : 1,784.67 = 703.79 : x
  2. Step 2: Convert to fraction form
    1,293.26/1,784.67 = 703.79/x
  3. Step 3: Cross multiply
    1,293.26x = 1,784.67 × 703.79
  4. Step 4: Simplify right side
    1,293.26x = 1,256,023.98
  5. Step 5: Solve for x
    x = 1,256,023.98/1,293.26
  6. Step 6: Final answer
    x = 971.21

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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.