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Finding the Fourth Proportional to 894.47, 1,230.66 and 827.24

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Solution

The fourth proportional to 894.47, 1,230.66 and 827.24 is: 1,138.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.47 : 1,230.66 = 827.24 : x
  2. Step 2: Convert to fraction form
    894.47/1,230.66 = 827.24/x
  3. Step 3: Cross multiply
    894.47x = 1,230.66 × 827.24
  4. Step 4: Simplify right side
    894.47x = 1,018,045.03
  5. Step 5: Solve for x
    x = 1,018,045.03/894.47
  6. Step 6: Final answer
    x = 1,138.16

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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.