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Finding the Fourth Proportional to 897.40, 1,238.54 and 773.56

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Solution

The fourth proportional to 897.40, 1,238.54 and 773.56 is: 1,067.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.40 : 1,238.54 = 773.56 : x
  2. Step 2: Convert to fraction form
    897.40/1,238.54 = 773.56/x
  3. Step 3: Cross multiply
    897.40x = 1,238.54 × 773.56
  4. Step 4: Simplify right side
    897.40x = 958,085.00
  5. Step 5: Solve for x
    x = 958,085.00/897.40
  6. Step 6: Final answer
    x = 1,067.62

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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.