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Finding the Fourth Proportional to 674.63, 1,013.48 and 582.37

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Solution

The fourth proportional to 674.63, 1,013.48 and 582.37 is: 874.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.63 : 1,013.48 = 582.37 : x
  2. Step 2: Convert to fraction form
    674.63/1,013.48 = 582.37/x
  3. Step 3: Cross multiply
    674.63x = 1,013.48 × 582.37
  4. Step 4: Simplify right side
    674.63x = 590,220.35
  5. Step 5: Solve for x
    x = 590,220.35/674.63
  6. Step 6: Final answer
    x = 874.88

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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.