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Finding the Fourth Proportional to 1,463.63, 2,019.86 and 904.09

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Solution

The fourth proportional to 1,463.63, 2,019.86 and 904.09 is: 1,247.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.63 : 2,019.86 = 904.09 : x
  2. Step 2: Convert to fraction form
    1,463.63/2,019.86 = 904.09/x
  3. Step 3: Cross multiply
    1,463.63x = 2,019.86 × 904.09
  4. Step 4: Simplify right side
    1,463.63x = 1,826,132.44
  5. Step 5: Solve for x
    x = 1,826,132.44/1,463.63
  6. Step 6: Final answer
    x = 1,247.67

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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.