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Finding the Fourth Proportional to 789.93, 1,090.20 and 475.35

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Solution

The fourth proportional to 789.93, 1,090.20 and 475.35 is: 656.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.93 : 1,090.20 = 475.35 : x
  2. Step 2: Convert to fraction form
    789.93/1,090.20 = 475.35/x
  3. Step 3: Cross multiply
    789.93x = 1,090.20 × 475.35
  4. Step 4: Simplify right side
    789.93x = 518,228.28
  5. Step 5: Solve for x
    x = 518,228.28/789.93
  6. Step 6: Final answer
    x = 656.05

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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.