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Finding the Fourth Proportional to 789.19, 1,088.51 and 684.09

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Solution

The fourth proportional to 789.19, 1,088.51 and 684.09 is: 943.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.19 : 1,088.51 = 684.09 : x
  2. Step 2: Convert to fraction form
    789.19/1,088.51 = 684.09/x
  3. Step 3: Cross multiply
    789.19x = 1,088.51 × 684.09
  4. Step 4: Simplify right side
    789.19x = 744,635.07
  5. Step 5: Solve for x
    x = 744,635.07/789.19
  6. Step 6: Final answer
    x = 943.55

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Why These Related Problems?

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