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Finding the Fourth Proportional to 650.84, 976.26 and 523.40

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Solution

The fourth proportional to 650.84, 976.26 and 523.40 is: 785.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.84 : 976.26 = 523.40 : x
  2. Step 2: Convert to fraction form
    650.84/976.26 = 523.40/x
  3. Step 3: Cross multiply
    650.84x = 976.26 × 523.40
  4. Step 4: Simplify right side
    650.84x = 510,974.48
  5. Step 5: Solve for x
    x = 510,974.48/650.84
  6. Step 6: Final answer
    x = 785.10

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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.