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Finding the Fourth Proportional to 1,269.63, 1,904.95 and 447.99

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Solution

The fourth proportional to 1,269.63, 1,904.95 and 447.99 is: 672.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.63 : 1,904.95 = 447.99 : x
  2. Step 2: Convert to fraction form
    1,269.63/1,904.95 = 447.99/x
  3. Step 3: Cross multiply
    1,269.63x = 1,904.95 × 447.99
  4. Step 4: Simplify right side
    1,269.63x = 853,391.97
  5. Step 5: Solve for x
    x = 853,391.97/1,269.63
  6. Step 6: Final answer
    x = 672.16

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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.