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Finding the Fourth Proportional to 941.41, 1,299.12 and 568.72

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Solution

The fourth proportional to 941.41, 1,299.12 and 568.72 is: 784.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.41 : 1,299.12 = 568.72 : x
  2. Step 2: Convert to fraction form
    941.41/1,299.12 = 568.72/x
  3. Step 3: Cross multiply
    941.41x = 1,299.12 × 568.72
  4. Step 4: Simplify right side
    941.41x = 738,835.53
  5. Step 5: Solve for x
    x = 738,835.53/941.41
  6. Step 6: Final answer
    x = 784.82

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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.