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Finding the Fourth Proportional to 897.31, 1,238.27 and 548.00

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Solution

The fourth proportional to 897.31, 1,238.27 and 548.00 is: 756.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.31 : 1,238.27 = 548.00 : x
  2. Step 2: Convert to fraction form
    897.31/1,238.27 = 548.00/x
  3. Step 3: Cross multiply
    897.31x = 1,238.27 × 548.00
  4. Step 4: Simplify right side
    897.31x = 678,567.14
  5. Step 5: Solve for x
    x = 678,567.14/897.31
  6. Step 6: Final answer
    x = 756.23

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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.