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Finding the Fourth Proportional to 941.40, 1,299.25 and 568.39

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Solution

The fourth proportional to 941.40, 1,299.25 and 568.39 is: 784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.40 : 1,299.25 = 568.39 : x
  2. Step 2: Convert to fraction form
    941.40/1,299.25 = 568.39/x
  3. Step 3: Cross multiply
    941.40x = 1,299.25 × 568.39
  4. Step 4: Simplify right side
    941.40x = 738,480.71
  5. Step 5: Solve for x
    x = 738,480.71/941.40
  6. Step 6: Final answer
    x = 784.45

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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.