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Finding the Fourth Proportional to 1,213.85, 1,821.15 and 483.03

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Solution

The fourth proportional to 1,213.85, 1,821.15 and 483.03 is: 724.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.85 : 1,821.15 = 483.03 : x
  2. Step 2: Convert to fraction form
    1,213.85/1,821.15 = 483.03/x
  3. Step 3: Cross multiply
    1,213.85x = 1,821.15 × 483.03
  4. Step 4: Simplify right side
    1,213.85x = 879,670.08
  5. Step 5: Solve for x
    x = 879,670.08/1,213.85
  6. Step 6: Final answer
    x = 724.70

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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.