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Finding the Fourth Proportional to 940.46, 1,297.23 and 590.54

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Solution

The fourth proportional to 940.46, 1,297.23 and 590.54 is: 814.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.46 : 1,297.23 = 590.54 : x
  2. Step 2: Convert to fraction form
    940.46/1,297.23 = 590.54/x
  3. Step 3: Cross multiply
    940.46x = 1,297.23 × 590.54
  4. Step 4: Simplify right side
    940.46x = 766,066.20
  5. Step 5: Solve for x
    x = 766,066.20/940.46
  6. Step 6: Final answer
    x = 814.57

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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.