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Finding the Fourth Proportional to 686.51, 944.39 and 602.10

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Solution

The fourth proportional to 686.51, 944.39 and 602.10 is: 828.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.51 : 944.39 = 602.10 : x
  2. Step 2: Convert to fraction form
    686.51/944.39 = 602.10/x
  3. Step 3: Cross multiply
    686.51x = 944.39 × 602.10
  4. Step 4: Simplify right side
    686.51x = 568,622.27
  5. Step 5: Solve for x
    x = 568,622.27/686.51
  6. Step 6: Final answer
    x = 828.28

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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.