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Finding the Fourth Proportional to 941.11, 1,298.43 and 568.20

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Solution

The fourth proportional to 941.11, 1,298.43 and 568.20 is: 783.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.11 : 1,298.43 = 568.20 : x
  2. Step 2: Convert to fraction form
    941.11/1,298.43 = 568.20/x
  3. Step 3: Cross multiply
    941.11x = 1,298.43 × 568.20
  4. Step 4: Simplify right side
    941.11x = 737,767.93
  5. Step 5: Solve for x
    x = 737,767.93/941.11
  6. Step 6: Final answer
    x = 783.93

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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.