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Finding the Fourth Proportional to 1,046.98, 1,446.60 and 733.42

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Solution

The fourth proportional to 1,046.98, 1,446.60 and 733.42 is: 1,013.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.98 : 1,446.60 = 733.42 : x
  2. Step 2: Convert to fraction form
    1,046.98/1,446.60 = 733.42/x
  3. Step 3: Cross multiply
    1,046.98x = 1,446.60 × 733.42
  4. Step 4: Simplify right side
    1,046.98x = 1,060,965.37
  5. Step 5: Solve for x
    x = 1,060,965.37/1,046.98
  6. Step 6: Final answer
    x = 1,013.36

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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.