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Finding the Fourth Proportional to 1,365.69, 2,048.57 and 544.35

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Solution

The fourth proportional to 1,365.69, 2,048.57 and 544.35 is: 816.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.69 : 2,048.57 = 544.35 : x
  2. Step 2: Convert to fraction form
    1,365.69/2,048.57 = 544.35/x
  3. Step 3: Cross multiply
    1,365.69x = 2,048.57 × 544.35
  4. Step 4: Simplify right side
    1,365.69x = 1,115,136.36
  5. Step 5: Solve for x
    x = 1,115,136.36/1,365.69
  6. Step 6: Final answer
    x = 816.54

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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.