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Finding the Fourth Proportional to 784.22, 1,175.94 and 290.28

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Solution

The fourth proportional to 784.22, 1,175.94 and 290.28 is: 435.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.22 : 1,175.94 = 290.28 : x
  2. Step 2: Convert to fraction form
    784.22/1,175.94 = 290.28/x
  3. Step 3: Cross multiply
    784.22x = 1,175.94 × 290.28
  4. Step 4: Simplify right side
    784.22x = 341,351.86
  5. Step 5: Solve for x
    x = 341,351.86/784.22
  6. Step 6: Final answer
    x = 435.28

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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.