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Finding the Fourth Proportional to 681.52, 1,023.09 and 407.74

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Solution

The fourth proportional to 681.52, 1,023.09 and 407.74 is: 612.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.52 : 1,023.09 = 407.74 : x
  2. Step 2: Convert to fraction form
    681.52/1,023.09 = 407.74/x
  3. Step 3: Cross multiply
    681.52x = 1,023.09 × 407.74
  4. Step 4: Simplify right side
    681.52x = 417,154.72
  5. Step 5: Solve for x
    x = 417,154.72/681.52
  6. Step 6: Final answer
    x = 612.09

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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.