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Finding the Fourth Proportional to 789.06, 1,086.48 and 690.24

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Solution

The fourth proportional to 789.06, 1,086.48 and 690.24 is: 950.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.06 : 1,086.48 = 690.24 : x
  2. Step 2: Convert to fraction form
    789.06/1,086.48 = 690.24/x
  3. Step 3: Cross multiply
    789.06x = 1,086.48 × 690.24
  4. Step 4: Simplify right side
    789.06x = 749,931.96
  5. Step 5: Solve for x
    x = 749,931.96/789.06
  6. Step 6: Final answer
    x = 950.41

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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.