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Finding the Fourth Proportional to 779.83, 1,168.70 and 317.05

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Solution

The fourth proportional to 779.83, 1,168.70 and 317.05 is: 475.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.83 : 1,168.70 = 317.05 : x
  2. Step 2: Convert to fraction form
    779.83/1,168.70 = 317.05/x
  3. Step 3: Cross multiply
    779.83x = 1,168.70 × 317.05
  4. Step 4: Simplify right side
    779.83x = 370,531.83
  5. Step 5: Solve for x
    x = 370,531.83/779.83
  6. Step 6: Final answer
    x = 475.15

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