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Finding the Fourth Proportional to 681.36, 1,019.52 and 407.64

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Solution

The fourth proportional to 681.36, 1,019.52 and 407.64 is: 609.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.36 : 1,019.52 = 407.64 : x
  2. Step 2: Convert to fraction form
    681.36/1,019.52 = 407.64/x
  3. Step 3: Cross multiply
    681.36x = 1,019.52 × 407.64
  4. Step 4: Simplify right side
    681.36x = 415,597.13
  5. Step 5: Solve for x
    x = 415,597.13/681.36
  6. Step 6: Final answer
    x = 609.95

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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.