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Finding the Fourth Proportional to 674.16, 1,008.62 and 414.10

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Solution

The fourth proportional to 674.16, 1,008.62 and 414.10 is: 619.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.16 : 1,008.62 = 414.10 : x
  2. Step 2: Convert to fraction form
    674.16/1,008.62 = 414.10/x
  3. Step 3: Cross multiply
    674.16x = 1,008.62 × 414.10
  4. Step 4: Simplify right side
    674.16x = 417,669.54
  5. Step 5: Solve for x
    x = 417,669.54/674.16
  6. Step 6: Final answer
    x = 619.54

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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.