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Finding the Fourth Proportional to 929.88, 1,393.80 and 409.56

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Solution

The fourth proportional to 929.88, 1,393.80 and 409.56 is: 613.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.88 : 1,393.80 = 409.56 : x
  2. Step 2: Convert to fraction form
    929.88/1,393.80 = 409.56/x
  3. Step 3: Cross multiply
    929.88x = 1,393.80 × 409.56
  4. Step 4: Simplify right side
    929.88x = 570,844.73
  5. Step 5: Solve for x
    x = 570,844.73/929.88
  6. Step 6: Final answer
    x = 613.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.