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Finding the Fourth Proportional to 967.68, 1,450.26 and 601.74

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Solution

The fourth proportional to 967.68, 1,450.26 and 601.74 is: 901.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.68 : 1,450.26 = 601.74 : x
  2. Step 2: Convert to fraction form
    967.68/1,450.26 = 601.74/x
  3. Step 3: Cross multiply
    967.68x = 1,450.26 × 601.74
  4. Step 4: Simplify right side
    967.68x = 872,679.45
  5. Step 5: Solve for x
    x = 872,679.45/967.68
  6. Step 6: Final answer
    x = 901.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.