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Finding the Fourth Proportional to 889.14, 1,226.82 and 496.15

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Solution

The fourth proportional to 889.14, 1,226.82 and 496.15 is: 684.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.14 : 1,226.82 = 496.15 : x
  2. Step 2: Convert to fraction form
    889.14/1,226.82 = 496.15/x
  3. Step 3: Cross multiply
    889.14x = 1,226.82 × 496.15
  4. Step 4: Simplify right side
    889.14x = 608,686.74
  5. Step 5: Solve for x
    x = 608,686.74/889.14
  6. Step 6: Final answer
    x = 684.58

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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.