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Finding the Fourth Proportional to 1,217.99, 1,827.53 and 448.31

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Solution

The fourth proportional to 1,217.99, 1,827.53 and 448.31 is: 672.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.99 : 1,827.53 = 448.31 : x
  2. Step 2: Convert to fraction form
    1,217.99/1,827.53 = 448.31/x
  3. Step 3: Cross multiply
    1,217.99x = 1,827.53 × 448.31
  4. Step 4: Simplify right side
    1,217.99x = 819,303.98
  5. Step 5: Solve for x
    x = 819,303.98/1,217.99
  6. Step 6: Final answer
    x = 672.67

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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.