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Finding the Fourth Proportional to 828.43, 1,243.05 and 586.51

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Solution

The fourth proportional to 828.43, 1,243.05 and 586.51 is: 880.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.43 : 1,243.05 = 586.51 : x
  2. Step 2: Convert to fraction form
    828.43/1,243.05 = 586.51/x
  3. Step 3: Cross multiply
    828.43x = 1,243.05 × 586.51
  4. Step 4: Simplify right side
    828.43x = 729,061.26
  5. Step 5: Solve for x
    x = 729,061.26/828.43
  6. Step 6: Final answer
    x = 880.05

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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.