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Finding the Fourth Proportional to 1,046.45, 1,444.36 and 604.62

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Solution

The fourth proportional to 1,046.45, 1,444.36 and 604.62 is: 834.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.45 : 1,444.36 = 604.62 : x
  2. Step 2: Convert to fraction form
    1,046.45/1,444.36 = 604.62/x
  3. Step 3: Cross multiply
    1,046.45x = 1,444.36 × 604.62
  4. Step 4: Simplify right side
    1,046.45x = 873,288.94
  5. Step 5: Solve for x
    x = 873,288.94/1,046.45
  6. Step 6: Final answer
    x = 834.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.