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Finding the Fourth Proportional to 699.18, 963.68 and 598.87

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Solution

The fourth proportional to 699.18, 963.68 and 598.87 is: 825.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.18 : 963.68 = 598.87 : x
  2. Step 2: Convert to fraction form
    699.18/963.68 = 598.87/x
  3. Step 3: Cross multiply
    699.18x = 963.68 × 598.87
  4. Step 4: Simplify right side
    699.18x = 577,117.25
  5. Step 5: Solve for x
    x = 577,117.25/699.18
  6. Step 6: Final answer
    x = 825.42

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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.