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Finding the Fourth Proportional to 889.02, 1,226.84 and 496.06

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Solution

The fourth proportional to 889.02, 1,226.84 and 496.06 is: 684.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.02 : 1,226.84 = 496.06 : x
  2. Step 2: Convert to fraction form
    889.02/1,226.84 = 496.06/x
  3. Step 3: Cross multiply
    889.02x = 1,226.84 × 496.06
  4. Step 4: Simplify right side
    889.02x = 608,586.25
  5. Step 5: Solve for x
    x = 608,586.25/889.02
  6. Step 6: Final answer
    x = 684.56

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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.