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Finding the Fourth Proportional to 1,033.50, 1,426.89 and 718.65

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Solution

The fourth proportional to 1,033.50, 1,426.89 and 718.65 is: 992.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.50 : 1,426.89 = 718.65 : x
  2. Step 2: Convert to fraction form
    1,033.50/1,426.89 = 718.65/x
  3. Step 3: Cross multiply
    1,033.50x = 1,426.89 × 718.65
  4. Step 4: Simplify right side
    1,033.50x = 1,025,434.50
  5. Step 5: Solve for x
    x = 1,025,434.50/1,033.50
  6. Step 6: Final answer
    x = 992.20

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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.