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Finding the Fourth Proportional to 784.56, 1,082.81 and 448.54

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Solution

The fourth proportional to 784.56, 1,082.81 and 448.54 is: 619.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.56 : 1,082.81 = 448.54 : x
  2. Step 2: Convert to fraction form
    784.56/1,082.81 = 448.54/x
  3. Step 3: Cross multiply
    784.56x = 1,082.81 × 448.54
  4. Step 4: Simplify right side
    784.56x = 485,681.35
  5. Step 5: Solve for x
    x = 485,681.35/784.56
  6. Step 6: Final answer
    x = 619.05

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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.