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Finding the Fourth Proportional to 674.55, 1,008.75 and 576.14

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Solution

The fourth proportional to 674.55, 1,008.75 and 576.14 is: 861.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.55 : 1,008.75 = 576.14 : x
  2. Step 2: Convert to fraction form
    674.55/1,008.75 = 576.14/x
  3. Step 3: Cross multiply
    674.55x = 1,008.75 × 576.14
  4. Step 4: Simplify right side
    674.55x = 581,181.18
  5. Step 5: Solve for x
    x = 581,181.18/674.55
  6. Step 6: Final answer
    x = 861.58

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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.