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Finding the Fourth Proportional to 898.41, 1,238.25 and 676.98

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Solution

The fourth proportional to 898.41, 1,238.25 and 676.98 is: 933.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.41 : 1,238.25 = 676.98 : x
  2. Step 2: Convert to fraction form
    898.41/1,238.25 = 676.98/x
  3. Step 3: Cross multiply
    898.41x = 1,238.25 × 676.98
  4. Step 4: Simplify right side
    898.41x = 838,270.49
  5. Step 5: Solve for x
    x = 838,270.49/898.41
  6. Step 6: Final answer
    x = 933.06

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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.