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Finding the Fourth Proportional to 1,014.45, 1,399.35 and 683.33

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Solution

The fourth proportional to 1,014.45, 1,399.35 and 683.33 is: 942.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.45 : 1,399.35 = 683.33 : x
  2. Step 2: Convert to fraction form
    1,014.45/1,399.35 = 683.33/x
  3. Step 3: Cross multiply
    1,014.45x = 1,399.35 × 683.33
  4. Step 4: Simplify right side
    1,014.45x = 956,217.84
  5. Step 5: Solve for x
    x = 956,217.84/1,014.45
  6. Step 6: Final answer
    x = 942.60

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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.