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Finding the Fourth Proportional to 674.40, 1,011.70 and 187.46

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Solution

The fourth proportional to 674.40, 1,011.70 and 187.46 is: 281.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.40 : 1,011.70 = 187.46 : x
  2. Step 2: Convert to fraction form
    674.40/1,011.70 = 187.46/x
  3. Step 3: Cross multiply
    674.40x = 1,011.70 × 187.46
  4. Step 4: Simplify right side
    674.40x = 189,653.28
  5. Step 5: Solve for x
    x = 189,653.28/674.40
  6. Step 6: Final answer
    x = 281.22

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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.