Home / 1,211.20-1,816.80-976.30

Finding the Fourth Proportional to 1,211.20, 1,816.80 and 976.30

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Solution

The fourth proportional to 1,211.20, 1,816.80 and 976.30 is: 1,464.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.20 : 1,816.80 = 976.30 : x
  2. Step 2: Convert to fraction form
    1,211.20/1,816.80 = 976.30/x
  3. Step 3: Cross multiply
    1,211.20x = 1,816.80 × 976.30
  4. Step 4: Simplify right side
    1,211.20x = 1,773,741.84
  5. Step 5: Solve for x
    x = 1,773,741.84/1,211.20
  6. Step 6: Final answer
    x = 1,464.45

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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.