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Finding the Fourth Proportional to 783.09, 1,080.81 and 518.54

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Solution

The fourth proportional to 783.09, 1,080.81 and 518.54 is: 715.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.09 : 1,080.81 = 518.54 : x
  2. Step 2: Convert to fraction form
    783.09/1,080.81 = 518.54/x
  3. Step 3: Cross multiply
    783.09x = 1,080.81 × 518.54
  4. Step 4: Simplify right side
    783.09x = 560,437.81
  5. Step 5: Solve for x
    x = 560,437.81/783.09
  6. Step 6: Final answer
    x = 715.67

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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.