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Finding the Fourth Proportional to 828.42, 1,240.87 and 584.07

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Solution

The fourth proportional to 828.42, 1,240.87 and 584.07 is: 874.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.42 : 1,240.87 = 584.07 : x
  2. Step 2: Convert to fraction form
    828.42/1,240.87 = 584.07/x
  3. Step 3: Cross multiply
    828.42x = 1,240.87 × 584.07
  4. Step 4: Simplify right side
    828.42x = 724,754.94
  5. Step 5: Solve for x
    x = 724,754.94/828.42
  6. Step 6: Final answer
    x = 874.86

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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.