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Finding the Fourth Proportional to 601.75, 897.97 and 536.95

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Solution

The fourth proportional to 601.75, 897.97 and 536.95 is: 801.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.75 : 897.97 = 536.95 : x
  2. Step 2: Convert to fraction form
    601.75/897.97 = 536.95/x
  3. Step 3: Cross multiply
    601.75x = 897.97 × 536.95
  4. Step 4: Simplify right side
    601.75x = 482,164.99
  5. Step 5: Solve for x
    x = 482,164.99/601.75
  6. Step 6: Final answer
    x = 801.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.