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Finding the Fourth Proportional to 1,365.35, 1,885.75 and 993.98

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Solution

The fourth proportional to 1,365.35, 1,885.75 and 993.98 is: 1,372.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.35 : 1,885.75 = 993.98 : x
  2. Step 2: Convert to fraction form
    1,365.35/1,885.75 = 993.98/x
  3. Step 3: Cross multiply
    1,365.35x = 1,885.75 × 993.98
  4. Step 4: Simplify right side
    1,365.35x = 1,874,400.01
  5. Step 5: Solve for x
    x = 1,874,400.01/1,365.35
  6. Step 6: Final answer
    x = 1,372.84

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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.