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Finding the Fourth Proportional to 665.78, 919.41 and 510.26

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Solution

The fourth proportional to 665.78, 919.41 and 510.26 is: 704.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.78 : 919.41 = 510.26 : x
  2. Step 2: Convert to fraction form
    665.78/919.41 = 510.26/x
  3. Step 3: Cross multiply
    665.78x = 919.41 × 510.26
  4. Step 4: Simplify right side
    665.78x = 469,138.15
  5. Step 5: Solve for x
    x = 469,138.15/665.78
  6. Step 6: Final answer
    x = 704.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.