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Finding the Fourth Proportional to 844.83, 1,264.59 and 537.03

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Solution

The fourth proportional to 844.83, 1,264.59 and 537.03 is: 803.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.83 : 1,264.59 = 537.03 : x
  2. Step 2: Convert to fraction form
    844.83/1,264.59 = 537.03/x
  3. Step 3: Cross multiply
    844.83x = 1,264.59 × 537.03
  4. Step 4: Simplify right side
    844.83x = 679,122.77
  5. Step 5: Solve for x
    x = 679,122.77/844.83
  6. Step 6: Final answer
    x = 803.86

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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.