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Finding the Fourth Proportional to 758.00, 1,046.45 and 492.73

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Solution

The fourth proportional to 758.00, 1,046.45 and 492.73 is: 680.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.00 : 1,046.45 = 492.73 : x
  2. Step 2: Convert to fraction form
    758.00/1,046.45 = 492.73/x
  3. Step 3: Cross multiply
    758.00x = 1,046.45 × 492.73
  4. Step 4: Simplify right side
    758.00x = 515,615.92
  5. Step 5: Solve for x
    x = 515,615.92/758.00
  6. Step 6: Final answer
    x = 680.23

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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.