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Finding the Fourth Proportional to 1,046.27, 1,444.82 and 673.89

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Solution

The fourth proportional to 1,046.27, 1,444.82 and 673.89 is: 930.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.27 : 1,444.82 = 673.89 : x
  2. Step 2: Convert to fraction form
    1,046.27/1,444.82 = 673.89/x
  3. Step 3: Cross multiply
    1,046.27x = 1,444.82 × 673.89
  4. Step 4: Simplify right side
    1,046.27x = 973,652.88
  5. Step 5: Solve for x
    x = 973,652.88/1,046.27
  6. Step 6: Final answer
    x = 930.60

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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.