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Finding the Fourth Proportional to 830.75, 1,244.47 and 418.60

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Solution

The fourth proportional to 830.75, 1,244.47 and 418.60 is: 627.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.75 : 1,244.47 = 418.60 : x
  2. Step 2: Convert to fraction form
    830.75/1,244.47 = 418.60/x
  3. Step 3: Cross multiply
    830.75x = 1,244.47 × 418.60
  4. Step 4: Simplify right side
    830.75x = 520,928.92
  5. Step 5: Solve for x
    x = 520,928.92/830.75
  6. Step 6: Final answer
    x = 627.06

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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.