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Finding the Fourth Proportional to 839.03, 1,258.74 and 428.18

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Solution

The fourth proportional to 839.03, 1,258.74 and 428.18 is: 642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.03 : 1,258.74 = 428.18 : x
  2. Step 2: Convert to fraction form
    839.03/1,258.74 = 428.18/x
  3. Step 3: Cross multiply
    839.03x = 1,258.74 × 428.18
  4. Step 4: Simplify right side
    839.03x = 538,961.00
  5. Step 5: Solve for x
    x = 538,961.00/839.03
  6. Step 6: Final answer
    x = 642.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.