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Finding the Fourth Proportional to 779.36, 1,168.70 and 414.07

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Solution

The fourth proportional to 779.36, 1,168.70 and 414.07 is: 620.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.36 : 1,168.70 = 414.07 : x
  2. Step 2: Convert to fraction form
    779.36/1,168.70 = 414.07/x
  3. Step 3: Cross multiply
    779.36x = 1,168.70 × 414.07
  4. Step 4: Simplify right side
    779.36x = 483,923.61
  5. Step 5: Solve for x
    x = 483,923.61/779.36
  6. Step 6: Final answer
    x = 620.92

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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.