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Finding the Fourth Proportional to 890.39, 1,226.75 and 653.87

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Solution

The fourth proportional to 890.39, 1,226.75 and 653.87 is: 900.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.39 : 1,226.75 = 653.87 : x
  2. Step 2: Convert to fraction form
    890.39/1,226.75 = 653.87/x
  3. Step 3: Cross multiply
    890.39x = 1,226.75 × 653.87
  4. Step 4: Simplify right side
    890.39x = 802,134.82
  5. Step 5: Solve for x
    x = 802,134.82/890.39
  6. Step 6: Final answer
    x = 900.88

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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.