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Finding the Fourth Proportional to 1,217.80, 1,826.70 and 448.12

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Solution

The fourth proportional to 1,217.80, 1,826.70 and 448.12 is: 672.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.80 : 1,826.70 = 448.12 : x
  2. Step 2: Convert to fraction form
    1,217.80/1,826.70 = 448.12/x
  3. Step 3: Cross multiply
    1,217.80x = 1,826.70 × 448.12
  4. Step 4: Simplify right side
    1,217.80x = 818,580.80
  5. Step 5: Solve for x
    x = 818,580.80/1,217.80
  6. Step 6: Final answer
    x = 672.18

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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.