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Finding the Fourth Proportional to 828.94, 1,144.34 and 581.56

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Solution

The fourth proportional to 828.94, 1,144.34 and 581.56 is: 802.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.94 : 1,144.34 = 581.56 : x
  2. Step 2: Convert to fraction form
    828.94/1,144.34 = 581.56/x
  3. Step 3: Cross multiply
    828.94x = 1,144.34 × 581.56
  4. Step 4: Simplify right side
    828.94x = 665,502.37
  5. Step 5: Solve for x
    x = 665,502.37/828.94
  6. Step 6: Final answer
    x = 802.84

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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.