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Finding the Fourth Proportional to 1,012.34, 1,387.91 and 993.89

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Solution

The fourth proportional to 1,012.34, 1,387.91 and 993.89 is: 1,362.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.34 : 1,387.91 = 993.89 : x
  2. Step 2: Convert to fraction form
    1,012.34/1,387.91 = 993.89/x
  3. Step 3: Cross multiply
    1,012.34x = 1,387.91 × 993.89
  4. Step 4: Simplify right side
    1,012.34x = 1,379,428.02
  5. Step 5: Solve for x
    x = 1,379,428.02/1,012.34
  6. Step 6: Final answer
    x = 1,362.62

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.