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Finding the Fourth Proportional to 674.41, 1,011.61 and 187.46

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Solution

The fourth proportional to 674.41, 1,011.61 and 187.46 is: 281.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.41 : 1,011.61 = 187.46 : x
  2. Step 2: Convert to fraction form
    674.41/1,011.61 = 187.46/x
  3. Step 3: Cross multiply
    674.41x = 1,011.61 × 187.46
  4. Step 4: Simplify right side
    674.41x = 189,638.94
  5. Step 5: Solve for x
    x = 189,638.94/674.41
  6. Step 6: Final answer
    x = 281.19

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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.