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Finding the Fourth Proportional to 1,046.82, 1,444.55 and 604.69

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Solution

The fourth proportional to 1,046.82, 1,444.55 and 604.69 is: 834.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.82 : 1,444.55 = 604.69 : x
  2. Step 2: Convert to fraction form
    1,046.82/1,444.55 = 604.69/x
  3. Step 3: Cross multiply
    1,046.82x = 1,444.55 × 604.69
  4. Step 4: Simplify right side
    1,046.82x = 873,504.94
  5. Step 5: Solve for x
    x = 873,504.94/1,046.82
  6. Step 6: Final answer
    x = 834.44

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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.