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Finding the Fourth Proportional to 1,033.29, 1,426.32 and 701.82

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Solution

The fourth proportional to 1,033.29, 1,426.32 and 701.82 is: 968.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.29 : 1,426.32 = 701.82 : x
  2. Step 2: Convert to fraction form
    1,033.29/1,426.32 = 701.82/x
  3. Step 3: Cross multiply
    1,033.29x = 1,426.32 × 701.82
  4. Step 4: Simplify right side
    1,033.29x = 1,001,019.90
  5. Step 5: Solve for x
    x = 1,001,019.90/1,033.29
  6. Step 6: Final answer
    x = 968.77

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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.