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Finding the Fourth Proportional to 941.64, 1,299.57 and 522.14

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Solution

The fourth proportional to 941.64, 1,299.57 and 522.14 is: 720.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.64 : 1,299.57 = 522.14 : x
  2. Step 2: Convert to fraction form
    941.64/1,299.57 = 522.14/x
  3. Step 3: Cross multiply
    941.64x = 1,299.57 × 522.14
  4. Step 4: Simplify right side
    941.64x = 678,550.98
  5. Step 5: Solve for x
    x = 678,550.98/941.64
  6. Step 6: Final answer
    x = 720.61

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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.