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Finding the Fourth Proportional to 1,046.98, 1,444.16 and 674.44

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Solution

The fourth proportional to 1,046.98, 1,444.16 and 674.44 is: 930.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.98 : 1,444.16 = 674.44 : x
  2. Step 2: Convert to fraction form
    1,046.98/1,444.16 = 674.44/x
  3. Step 3: Cross multiply
    1,046.98x = 1,444.16 × 674.44
  4. Step 4: Simplify right side
    1,046.98x = 973,999.27
  5. Step 5: Solve for x
    x = 973,999.27/1,046.98
  6. Step 6: Final answer
    x = 930.29

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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.