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Finding the Fourth Proportional to 841.75, 1,262.67 and 264.67

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Solution

The fourth proportional to 841.75, 1,262.67 and 264.67 is: 397.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.75 : 1,262.67 = 264.67 : x
  2. Step 2: Convert to fraction form
    841.75/1,262.67 = 264.67/x
  3. Step 3: Cross multiply
    841.75x = 1,262.67 × 264.67
  4. Step 4: Simplify right side
    841.75x = 334,190.87
  5. Step 5: Solve for x
    x = 334,190.87/841.75
  6. Step 6: Final answer
    x = 397.02

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