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Finding the Fourth Proportional to 789.97, 1,090.10 and 475.28

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Solution

The fourth proportional to 789.97, 1,090.10 and 475.28 is: 655.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.97 : 1,090.10 = 475.28 : x
  2. Step 2: Convert to fraction form
    789.97/1,090.10 = 475.28/x
  3. Step 3: Cross multiply
    789.97x = 1,090.10 × 475.28
  4. Step 4: Simplify right side
    789.97x = 518,106.64
  5. Step 5: Solve for x
    x = 518,106.64/789.97
  6. Step 6: Final answer
    x = 655.86

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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.