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Finding the Fourth Proportional to 674.33, 1,009.18 and 414.16

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Solution

The fourth proportional to 674.33, 1,009.18 and 414.16 is: 619.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.33 : 1,009.18 = 414.16 : x
  2. Step 2: Convert to fraction form
    674.33/1,009.18 = 414.16/x
  3. Step 3: Cross multiply
    674.33x = 1,009.18 × 414.16
  4. Step 4: Simplify right side
    674.33x = 417,961.99
  5. Step 5: Solve for x
    x = 417,961.99/674.33
  6. Step 6: Final answer
    x = 619.82

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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.