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Finding the Fourth Proportional to 941.75, 1,298.93 and 568.56

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Solution

The fourth proportional to 941.75, 1,298.93 and 568.56 is: 784.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.75 : 1,298.93 = 568.56 : x
  2. Step 2: Convert to fraction form
    941.75/1,298.93 = 568.56/x
  3. Step 3: Cross multiply
    941.75x = 1,298.93 × 568.56
  4. Step 4: Simplify right side
    941.75x = 738,516.80
  5. Step 5: Solve for x
    x = 738,516.80/941.75
  6. Step 6: Final answer
    x = 784.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.