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Finding the Fourth Proportional to 890.20, 1,333.47 and 523.90

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Solution

The fourth proportional to 890.20, 1,333.47 and 523.90 is: 784.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.20 : 1,333.47 = 523.90 : x
  2. Step 2: Convert to fraction form
    890.20/1,333.47 = 523.90/x
  3. Step 3: Cross multiply
    890.20x = 1,333.47 × 523.90
  4. Step 4: Simplify right side
    890.20x = 698,598.27
  5. Step 5: Solve for x
    x = 698,598.27/890.20
  6. Step 6: Final answer
    x = 784.77

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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.