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Finding the Fourth Proportional to 941.09, 1,300.06 and 816.54

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Solution

The fourth proportional to 941.09, 1,300.06 and 816.54 is: 1,127.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.09 : 1,300.06 = 816.54 : x
  2. Step 2: Convert to fraction form
    941.09/1,300.06 = 816.54/x
  3. Step 3: Cross multiply
    941.09x = 1,300.06 × 816.54
  4. Step 4: Simplify right side
    941.09x = 1,061,545.65
  5. Step 5: Solve for x
    x = 1,061,545.65/941.09
  6. Step 6: Final answer
    x = 1,127.99

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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.