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Finding the Fourth Proportional to 897.50, 1,238.56 and 587.54

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Solution

The fourth proportional to 897.50, 1,238.56 and 587.54 is: 810.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.50 : 1,238.56 = 587.54 : x
  2. Step 2: Convert to fraction form
    897.50/1,238.56 = 587.54/x
  3. Step 3: Cross multiply
    897.50x = 1,238.56 × 587.54
  4. Step 4: Simplify right side
    897.50x = 727,703.54
  5. Step 5: Solve for x
    x = 727,703.54/897.50
  6. Step 6: Final answer
    x = 810.81

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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.