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Finding the Fourth Proportional to 778.05, 1,073.70 and 423.98

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Solution

The fourth proportional to 778.05, 1,073.70 and 423.98 is: 585.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.05 : 1,073.70 = 423.98 : x
  2. Step 2: Convert to fraction form
    778.05/1,073.70 = 423.98/x
  3. Step 3: Cross multiply
    778.05x = 1,073.70 × 423.98
  4. Step 4: Simplify right side
    778.05x = 455,227.46
  5. Step 5: Solve for x
    x = 455,227.46/778.05
  6. Step 6: Final answer
    x = 585.08

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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.