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Finding the Fourth Proportional to 689.44, 1,035.42 and 416.11

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Solution

The fourth proportional to 689.44, 1,035.42 and 416.11 is: 624.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.44 : 1,035.42 = 416.11 : x
  2. Step 2: Convert to fraction form
    689.44/1,035.42 = 416.11/x
  3. Step 3: Cross multiply
    689.44x = 1,035.42 × 416.11
  4. Step 4: Simplify right side
    689.44x = 430,848.62
  5. Step 5: Solve for x
    x = 430,848.62/689.44
  6. Step 6: Final answer
    x = 624.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.