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Finding the Fourth Proportional to 890.10, 1,226.88 and 641.07

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Solution

The fourth proportional to 890.10, 1,226.88 and 641.07 is: 883.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.10 : 1,226.88 = 641.07 : x
  2. Step 2: Convert to fraction form
    890.10/1,226.88 = 641.07/x
  3. Step 3: Cross multiply
    890.10x = 1,226.88 × 641.07
  4. Step 4: Simplify right side
    890.10x = 786,515.96
  5. Step 5: Solve for x
    x = 786,515.96/890.10
  6. Step 6: Final answer
    x = 883.63

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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.