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Finding the Fourth Proportional to 897.63, 1,238.93 and 548.52

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Solution

The fourth proportional to 897.63, 1,238.93 and 548.52 is: 757.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.63 : 1,238.93 = 548.52 : x
  2. Step 2: Convert to fraction form
    897.63/1,238.93 = 548.52/x
  3. Step 3: Cross multiply
    897.63x = 1,238.93 × 548.52
  4. Step 4: Simplify right side
    897.63x = 679,577.88
  5. Step 5: Solve for x
    x = 679,577.88/897.63
  6. Step 6: Final answer
    x = 757.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.