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Finding the Fourth Proportional to 1,365.63, 2,047.83 and 543.69

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Solution

The fourth proportional to 1,365.63, 2,047.83 and 543.69 is: 815.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.63 : 2,047.83 = 543.69 : x
  2. Step 2: Convert to fraction form
    1,365.63/2,047.83 = 543.69/x
  3. Step 3: Cross multiply
    1,365.63x = 2,047.83 × 543.69
  4. Step 4: Simplify right side
    1,365.63x = 1,113,384.69
  5. Step 5: Solve for x
    x = 1,113,384.69/1,365.63
  6. Step 6: Final answer
    x = 815.29

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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.