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Finding the Fourth Proportional to 941.88, 1,299.75 and 522.23

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Solution

The fourth proportional to 941.88, 1,299.75 and 522.23 is: 720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.88 : 1,299.75 = 522.23 : x
  2. Step 2: Convert to fraction form
    941.88/1,299.75 = 522.23/x
  3. Step 3: Cross multiply
    941.88x = 1,299.75 × 522.23
  4. Step 4: Simplify right side
    941.88x = 678,761.94
  5. Step 5: Solve for x
    x = 678,761.94/941.88
  6. Step 6: Final answer
    x = 720.65

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Double scale
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1.5x scale

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.