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Finding the Fourth Proportional to 668.52, 919.26 and 598.14

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Solution

The fourth proportional to 668.52, 919.26 and 598.14 is: 822.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.52 : 919.26 = 598.14 : x
  2. Step 2: Convert to fraction form
    668.52/919.26 = 598.14/x
  3. Step 3: Cross multiply
    668.52x = 919.26 × 598.14
  4. Step 4: Simplify right side
    668.52x = 549,846.18
  5. Step 5: Solve for x
    x = 549,846.18/668.52
  6. Step 6: Final answer
    x = 822.48

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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.