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Finding the Fourth Proportional to 941.74, 1,299.62 and 522.10

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Solution

The fourth proportional to 941.74, 1,299.62 and 522.10 is: 720.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.74 : 1,299.62 = 522.10 : x
  2. Step 2: Convert to fraction form
    941.74/1,299.62 = 522.10/x
  3. Step 3: Cross multiply
    941.74x = 1,299.62 × 522.10
  4. Step 4: Simplify right side
    941.74x = 678,533.55
  5. Step 5: Solve for x
    x = 678,533.55/941.74
  6. Step 6: Final answer
    x = 720.51

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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.