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Finding the Fourth Proportional to 651.12, 976.62 and 523.68

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Solution

The fourth proportional to 651.12, 976.62 and 523.68 is: 785.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.12 : 976.62 = 523.68 : x
  2. Step 2: Convert to fraction form
    651.12/976.62 = 523.68/x
  3. Step 3: Cross multiply
    651.12x = 976.62 × 523.68
  4. Step 4: Simplify right side
    651.12x = 511,436.36
  5. Step 5: Solve for x
    x = 511,436.36/651.12
  6. Step 6: Final answer
    x = 785.47

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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.