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Finding the Fourth Proportional to 912.23, 1,258.83 and 539.33

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Solution

The fourth proportional to 912.23, 1,258.83 and 539.33 is: 744.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.23 : 1,258.83 = 539.33 : x
  2. Step 2: Convert to fraction form
    912.23/1,258.83 = 539.33/x
  3. Step 3: Cross multiply
    912.23x = 1,258.83 × 539.33
  4. Step 4: Simplify right side
    912.23x = 678,918.49
  5. Step 5: Solve for x
    x = 678,918.49/912.23
  6. Step 6: Final answer
    x = 744.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.