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Finding the Fourth Proportional to 940.97, 1,298.64 and 568.13

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Solution

The fourth proportional to 940.97, 1,298.64 and 568.13 is: 784.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.97 : 1,298.64 = 568.13 : x
  2. Step 2: Convert to fraction form
    940.97/1,298.64 = 568.13/x
  3. Step 3: Cross multiply
    940.97x = 1,298.64 × 568.13
  4. Step 4: Simplify right side
    940.97x = 737,789.85
  5. Step 5: Solve for x
    x = 737,789.85/940.97
  6. Step 6: Final answer
    x = 784.08

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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.