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Finding the Fourth Proportional to 874.66, 1,309.47 and 682.42

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Solution

The fourth proportional to 874.66, 1,309.47 and 682.42 is: 1,021.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.66 : 1,309.47 = 682.42 : x
  2. Step 2: Convert to fraction form
    874.66/1,309.47 = 682.42/x
  3. Step 3: Cross multiply
    874.66x = 1,309.47 × 682.42
  4. Step 4: Simplify right side
    874.66x = 893,608.52
  5. Step 5: Solve for x
    x = 893,608.52/874.66
  6. Step 6: Final answer
    x = 1,021.66

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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.