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Finding the Fourth Proportional to 674.62, 930.06 and 582.34

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Solution

The fourth proportional to 674.62, 930.06 and 582.34 is: 802.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.62 : 930.06 = 582.34 : x
  2. Step 2: Convert to fraction form
    674.62/930.06 = 582.34/x
  3. Step 3: Cross multiply
    674.62x = 930.06 × 582.34
  4. Step 4: Simplify right side
    674.62x = 541,611.14
  5. Step 5: Solve for x
    x = 541,611.14/674.62
  6. Step 6: Final answer
    x = 802.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.