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Finding the Fourth Proportional to 940.28, 1,297.02 and 590.68

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Solution

The fourth proportional to 940.28, 1,297.02 and 590.68 is: 814.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.28 : 1,297.02 = 590.68 : x
  2. Step 2: Convert to fraction form
    940.28/1,297.02 = 590.68/x
  3. Step 3: Cross multiply
    940.28x = 1,297.02 × 590.68
  4. Step 4: Simplify right side
    940.28x = 766,123.77
  5. Step 5: Solve for x
    x = 766,123.77/940.28
  6. Step 6: Final answer
    x = 814.78

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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.