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Finding the Fourth Proportional to 665.36, 919.44 and 507.81

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Solution

The fourth proportional to 665.36, 919.44 and 507.81 is: 701.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.36 : 919.44 = 507.81 : x
  2. Step 2: Convert to fraction form
    665.36/919.44 = 507.81/x
  3. Step 3: Cross multiply
    665.36x = 919.44 × 507.81
  4. Step 4: Simplify right side
    665.36x = 466,900.83
  5. Step 5: Solve for x
    x = 466,900.83/665.36
  6. Step 6: Final answer
    x = 701.73

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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.