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Finding the Fourth Proportional to 993.84, 1,371.60 and 684

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Solution

The fourth proportional to 993.84, 1,371.60 and 684 is: 943.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.84 : 1,371.60 = 684 : x
  2. Step 2: Convert to fraction form
    993.84/1,371.60 = 684/x
  3. Step 3: Cross multiply
    993.84x = 1,371.60 × 684
  4. Step 4: Simplify right side
    993.84x = 938,174.40
  5. Step 5: Solve for x
    x = 938,174.40/993.84
  6. Step 6: Final answer
    x = 943.99

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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.