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Finding the Fourth Proportional to 789.90, 1,090.06 and 435.83

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Solution

The fourth proportional to 789.90, 1,090.06 and 435.83 is: 601.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.90 : 1,090.06 = 435.83 : x
  2. Step 2: Convert to fraction form
    789.90/1,090.06 = 435.83/x
  3. Step 3: Cross multiply
    789.90x = 1,090.06 × 435.83
  4. Step 4: Simplify right side
    789.90x = 475,081.05
  5. Step 5: Solve for x
    x = 475,081.05/789.90
  6. Step 6: Final answer
    x = 601.44

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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.