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Finding the Fourth Proportional to 789.86, 1,089.98 and 435.78

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Solution

The fourth proportional to 789.86, 1,089.98 and 435.78 is: 601.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.86 : 1,089.98 = 435.78 : x
  2. Step 2: Convert to fraction form
    789.86/1,089.98 = 435.78/x
  3. Step 3: Cross multiply
    789.86x = 1,089.98 × 435.78
  4. Step 4: Simplify right side
    789.86x = 474,991.48
  5. Step 5: Solve for x
    x = 474,991.48/789.86
  6. Step 6: Final answer
    x = 601.36

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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.