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Finding the Fourth Proportional to 985.36, 1,476.60 and 599.68

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Solution

The fourth proportional to 985.36, 1,476.60 and 599.68 is: 898.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.36 : 1,476.60 = 599.68 : x
  2. Step 2: Convert to fraction form
    985.36/1,476.60 = 599.68/x
  3. Step 3: Cross multiply
    985.36x = 1,476.60 × 599.68
  4. Step 4: Simplify right side
    985.36x = 885,487.49
  5. Step 5: Solve for x
    x = 885,487.49/985.36
  6. Step 6: Final answer
    x = 898.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.