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Finding the Fourth Proportional to 897.81, 1,238.90 and 504.78

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Solution

The fourth proportional to 897.81, 1,238.90 and 504.78 is: 696.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.81 : 1,238.90 = 504.78 : x
  2. Step 2: Convert to fraction form
    897.81/1,238.90 = 504.78/x
  3. Step 3: Cross multiply
    897.81x = 1,238.90 × 504.78
  4. Step 4: Simplify right side
    897.81x = 625,371.94
  5. Step 5: Solve for x
    x = 625,371.94/897.81
  6. Step 6: Final answer
    x = 696.55

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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.