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Finding the Fourth Proportional to 894.17, 1,230.48 and 824.91

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Solution

The fourth proportional to 894.17, 1,230.48 and 824.91 is: 1,135.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.17 : 1,230.48 = 824.91 : x
  2. Step 2: Convert to fraction form
    894.17/1,230.48 = 824.91/x
  3. Step 3: Cross multiply
    894.17x = 1,230.48 × 824.91
  4. Step 4: Simplify right side
    894.17x = 1,015,035.26
  5. Step 5: Solve for x
    x = 1,015,035.26/894.17
  6. Step 6: Final answer
    x = 1,135.18

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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.