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Finding the Fourth Proportional to 827.04, 1,239.84 and 645.24

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Solution

The fourth proportional to 827.04, 1,239.84 and 645.24 is: 967.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.04 : 1,239.84 = 645.24 : x
  2. Step 2: Convert to fraction form
    827.04/1,239.84 = 645.24/x
  3. Step 3: Cross multiply
    827.04x = 1,239.84 × 645.24
  4. Step 4: Simplify right side
    827.04x = 799,994.36
  5. Step 5: Solve for x
    x = 799,994.36/827.04
  6. Step 6: Final answer
    x = 967.30

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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.