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Finding the Fourth Proportional to 683.01, 1,024.16 and 244.08

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Solution

The fourth proportional to 683.01, 1,024.16 and 244.08 is: 365.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.01 : 1,024.16 = 244.08 : x
  2. Step 2: Convert to fraction form
    683.01/1,024.16 = 244.08/x
  3. Step 3: Cross multiply
    683.01x = 1,024.16 × 244.08
  4. Step 4: Simplify right side
    683.01x = 249,975.75
  5. Step 5: Solve for x
    x = 249,975.75/683.01
  6. Step 6: Final answer
    x = 365.99

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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.