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Finding the Fourth Proportional to 784.06, 1,082.12 and 448.04

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Solution

The fourth proportional to 784.06, 1,082.12 and 448.04 is: 618.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.06 : 1,082.12 = 448.04 : x
  2. Step 2: Convert to fraction form
    784.06/1,082.12 = 448.04/x
  3. Step 3: Cross multiply
    784.06x = 1,082.12 × 448.04
  4. Step 4: Simplify right side
    784.06x = 484,830.80
  5. Step 5: Solve for x
    x = 484,830.80/784.06
  6. Step 6: Final answer
    x = 618.36

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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.