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Finding the Fourth Proportional to 795.82, 1,194 and 470.80

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Solution

The fourth proportional to 795.82, 1,194 and 470.80 is: 706.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.82 : 1,194 = 470.80 : x
  2. Step 2: Convert to fraction form
    795.82/1,194 = 470.80/x
  3. Step 3: Cross multiply
    795.82x = 1,194 × 470.80
  4. Step 4: Simplify right side
    795.82x = 562,135.20
  5. Step 5: Solve for x
    x = 562,135.20/795.82
  6. Step 6: Final answer
    x = 706.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.