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Finding the Fourth Proportional to 926.26, 1,387.59 and 730.22

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Solution

The fourth proportional to 926.26, 1,387.59 and 730.22 is: 1,093.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.26 : 1,387.59 = 730.22 : x
  2. Step 2: Convert to fraction form
    926.26/1,387.59 = 730.22/x
  3. Step 3: Cross multiply
    926.26x = 1,387.59 × 730.22
  4. Step 4: Simplify right side
    926.26x = 1,013,245.97
  5. Step 5: Solve for x
    x = 1,013,245.97/926.26
  6. Step 6: Final answer
    x = 1,093.91

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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.