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Finding the Fourth Proportional to 737.22, 1,106.62 and 623.06

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Solution

The fourth proportional to 737.22, 1,106.62 and 623.06 is: 935.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.22 : 1,106.62 = 623.06 : x
  2. Step 2: Convert to fraction form
    737.22/1,106.62 = 623.06/x
  3. Step 3: Cross multiply
    737.22x = 1,106.62 × 623.06
  4. Step 4: Simplify right side
    737.22x = 689,490.66
  5. Step 5: Solve for x
    x = 689,490.66/737.22
  6. Step 6: Final answer
    x = 935.26

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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.