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Finding the Fourth Proportional to 897.55, 1,238.70 and 582.97

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Solution

The fourth proportional to 897.55, 1,238.70 and 582.97 is: 804.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.55 : 1,238.70 = 582.97 : x
  2. Step 2: Convert to fraction form
    897.55/1,238.70 = 582.97/x
  3. Step 3: Cross multiply
    897.55x = 1,238.70 × 582.97
  4. Step 4: Simplify right side
    897.55x = 722,124.94
  5. Step 5: Solve for x
    x = 722,124.94/897.55
  6. Step 6: Final answer
    x = 804.55

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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.