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Finding the Fourth Proportional to 689.81, 1,034.96 and 416.10

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Solution

The fourth proportional to 689.81, 1,034.96 and 416.10 is: 624.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.81 : 1,034.96 = 416.10 : x
  2. Step 2: Convert to fraction form
    689.81/1,034.96 = 416.10/x
  3. Step 3: Cross multiply
    689.81x = 1,034.96 × 416.10
  4. Step 4: Simplify right side
    689.81x = 430,644.78
  5. Step 5: Solve for x
    x = 430,644.78/689.81
  6. Step 6: Final answer
    x = 624.30

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Why These Related Problems?

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