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Finding the Fourth Proportional to 789.40, 1,088.24 and 552.62

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Solution

The fourth proportional to 789.40, 1,088.24 and 552.62 is: 761.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.40 : 1,088.24 = 552.62 : x
  2. Step 2: Convert to fraction form
    789.40/1,088.24 = 552.62/x
  3. Step 3: Cross multiply
    789.40x = 1,088.24 × 552.62
  4. Step 4: Simplify right side
    789.40x = 601,377.71
  5. Step 5: Solve for x
    x = 601,377.71/789.40
  6. Step 6: Final answer
    x = 761.82

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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.