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Finding the Fourth Proportional to 736.23, 1,106.24 and 555.33

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Solution

The fourth proportional to 736.23, 1,106.24 and 555.33 is: 834.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.23 : 1,106.24 = 555.33 : x
  2. Step 2: Convert to fraction form
    736.23/1,106.24 = 555.33/x
  3. Step 3: Cross multiply
    736.23x = 1,106.24 × 555.33
  4. Step 4: Simplify right side
    736.23x = 614,325.48
  5. Step 5: Solve for x
    x = 614,325.48/736.23
  6. Step 6: Final answer
    x = 834.42

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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.