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Finding the Fourth Proportional to 651.78, 976.86 and 469.80

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Solution

The fourth proportional to 651.78, 976.86 and 469.80 is: 704.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.78 : 976.86 = 469.80 : x
  2. Step 2: Convert to fraction form
    651.78/976.86 = 469.80/x
  3. Step 3: Cross multiply
    651.78x = 976.86 × 469.80
  4. Step 4: Simplify right side
    651.78x = 458,928.83
  5. Step 5: Solve for x
    x = 458,928.83/651.78
  6. Step 6: Final answer
    x = 704.12

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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.