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Finding the Fourth Proportional to 686.98, 945.60 and 599.50

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Solution

The fourth proportional to 686.98, 945.60 and 599.50 is: 825.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.98 : 945.60 = 599.50 : x
  2. Step 2: Convert to fraction form
    686.98/945.60 = 599.50/x
  3. Step 3: Cross multiply
    686.98x = 945.60 × 599.50
  4. Step 4: Simplify right side
    686.98x = 566,887.20
  5. Step 5: Solve for x
    x = 566,887.20/686.98
  6. Step 6: Final answer
    x = 825.19

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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.