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Finding the Fourth Proportional to 941.73, 1,299.39 and 568.74

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Solution

The fourth proportional to 941.73, 1,299.39 and 568.74 is: 784.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.73 : 1,299.39 = 568.74 : x
  2. Step 2: Convert to fraction form
    941.73/1,299.39 = 568.74/x
  3. Step 3: Cross multiply
    941.73x = 1,299.39 × 568.74
  4. Step 4: Simplify right side
    941.73x = 739,015.07
  5. Step 5: Solve for x
    x = 739,015.07/941.73
  6. Step 6: Final answer
    x = 784.74

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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.