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Finding the Fourth Proportional to 1,046.78, 1,444.47 and 604.73

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Solution

The fourth proportional to 1,046.78, 1,444.47 and 604.73 is: 834.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.78 : 1,444.47 = 604.73 : x
  2. Step 2: Convert to fraction form
    1,046.78/1,444.47 = 604.73/x
  3. Step 3: Cross multiply
    1,046.78x = 1,444.47 × 604.73
  4. Step 4: Simplify right side
    1,046.78x = 873,514.34
  5. Step 5: Solve for x
    x = 873,514.34/1,046.78
  6. Step 6: Final answer
    x = 834.48

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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.