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Finding the Fourth Proportional to 674.06, 1,011.69 and 454.14

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Solution

The fourth proportional to 674.06, 1,011.69 and 454.14 is: 681.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.06 : 1,011.69 = 454.14 : x
  2. Step 2: Convert to fraction form
    674.06/1,011.69 = 454.14/x
  3. Step 3: Cross multiply
    674.06x = 1,011.69 × 454.14
  4. Step 4: Simplify right side
    674.06x = 459,448.90
  5. Step 5: Solve for x
    x = 459,448.90/674.06
  6. Step 6: Final answer
    x = 681.62

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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.