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Finding the Fourth Proportional to 778.06, 1,073.73 and 423.98

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Solution

The fourth proportional to 778.06, 1,073.73 and 423.98 is: 585.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.06 : 1,073.73 = 423.98 : x
  2. Step 2: Convert to fraction form
    778.06/1,073.73 = 423.98/x
  3. Step 3: Cross multiply
    778.06x = 1,073.73 × 423.98
  4. Step 4: Simplify right side
    778.06x = 455,238.35
  5. Step 5: Solve for x
    x = 455,238.35/778.06
  6. Step 6: Final answer
    x = 585.10

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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.