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Finding the Fourth Proportional to 941.71, 1,299.57 and 522.04

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Solution

The fourth proportional to 941.71, 1,299.57 and 522.04 is: 720.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.71 : 1,299.57 = 522.04 : x
  2. Step 2: Convert to fraction form
    941.71/1,299.57 = 522.04/x
  3. Step 3: Cross multiply
    941.71x = 1,299.57 × 522.04
  4. Step 4: Simplify right side
    941.71x = 678,419.54
  5. Step 5: Solve for x
    x = 678,419.54/941.71
  6. Step 6: Final answer
    x = 720.41

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Double scale
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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.