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Finding the Fourth Proportional to 1,204.68, 1,805.53 and 683.10

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Solution

The fourth proportional to 1,204.68, 1,805.53 and 683.10 is: 1,023.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.68 : 1,805.53 = 683.10 : x
  2. Step 2: Convert to fraction form
    1,204.68/1,805.53 = 683.10/x
  3. Step 3: Cross multiply
    1,204.68x = 1,805.53 × 683.10
  4. Step 4: Simplify right side
    1,204.68x = 1,233,357.12
  5. Step 5: Solve for x
    x = 1,233,357.12/1,204.68
  6. Step 6: Final answer
    x = 1,023.80

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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.