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Finding the Fourth Proportional to 780.22, 1,170.22 and 318.20

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Solution

The fourth proportional to 780.22, 1,170.22 and 318.20 is: 477.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.22 : 1,170.22 = 318.20 : x
  2. Step 2: Convert to fraction form
    780.22/1,170.22 = 318.20/x
  3. Step 3: Cross multiply
    780.22x = 1,170.22 × 318.20
  4. Step 4: Simplify right side
    780.22x = 372,364.00
  5. Step 5: Solve for x
    x = 372,364.00/780.22
  6. Step 6: Final answer
    x = 477.26

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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.