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Finding the Fourth Proportional to 898.05, 1,238.77 and 548.13

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Solution

The fourth proportional to 898.05, 1,238.77 and 548.13 is: 756.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.05 : 1,238.77 = 548.13 : x
  2. Step 2: Convert to fraction form
    898.05/1,238.77 = 548.13/x
  3. Step 3: Cross multiply
    898.05x = 1,238.77 × 548.13
  4. Step 4: Simplify right side
    898.05x = 679,007.00
  5. Step 5: Solve for x
    x = 679,007.00/898.05
  6. Step 6: Final answer
    x = 756.09

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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.