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Finding the Fourth Proportional to 874.63, 1,205.89 and 741.61

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Solution

The fourth proportional to 874.63, 1,205.89 and 741.61 is: 1,022.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.63 : 1,205.89 = 741.61 : x
  2. Step 2: Convert to fraction form
    874.63/1,205.89 = 741.61/x
  3. Step 3: Cross multiply
    874.63x = 1,205.89 × 741.61
  4. Step 4: Simplify right side
    874.63x = 894,300.08
  5. Step 5: Solve for x
    x = 894,300.08/874.63
  6. Step 6: Final answer
    x = 1,022.49

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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.