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Finding the Fourth Proportional to 897.75, 1,238.90 and 587.25

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Solution

The fourth proportional to 897.75, 1,238.90 and 587.25 is: 810.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.75 : 1,238.90 = 587.25 : x
  2. Step 2: Convert to fraction form
    897.75/1,238.90 = 587.25/x
  3. Step 3: Cross multiply
    897.75x = 1,238.90 × 587.25
  4. Step 4: Simplify right side
    897.75x = 727,541.09
  5. Step 5: Solve for x
    x = 727,541.09/897.75
  6. Step 6: Final answer
    x = 810.41

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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.