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Finding the Fourth Proportional to 838.54, 1,258.25 and 561.09

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Solution

The fourth proportional to 838.54, 1,258.25 and 561.09 is: 841.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.54 : 1,258.25 = 561.09 : x
  2. Step 2: Convert to fraction form
    838.54/1,258.25 = 561.09/x
  3. Step 3: Cross multiply
    838.54x = 1,258.25 × 561.09
  4. Step 4: Simplify right side
    838.54x = 705,991.49
  5. Step 5: Solve for x
    x = 705,991.49/838.54
  6. Step 6: Final answer
    x = 841.93

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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.