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Finding the Fourth Proportional to 941.84, 1,299.82 and 522.32

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Solution

The fourth proportional to 941.84, 1,299.82 and 522.32 is: 720.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.84 : 1,299.82 = 522.32 : x
  2. Step 2: Convert to fraction form
    941.84/1,299.82 = 522.32/x
  3. Step 3: Cross multiply
    941.84x = 1,299.82 × 522.32
  4. Step 4: Simplify right side
    941.84x = 678,927.59
  5. Step 5: Solve for x
    x = 678,927.59/941.84
  6. Step 6: Final answer
    x = 720.85

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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.