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Finding the Fourth Proportional to 1,288.36, 1,932.92 and 466.60

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Solution

The fourth proportional to 1,288.36, 1,932.92 and 466.60 is: 700.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.36 : 1,932.92 = 466.60 : x
  2. Step 2: Convert to fraction form
    1,288.36/1,932.92 = 466.60/x
  3. Step 3: Cross multiply
    1,288.36x = 1,932.92 × 466.60
  4. Step 4: Simplify right side
    1,288.36x = 901,900.47
  5. Step 5: Solve for x
    x = 901,900.47/1,288.36
  6. Step 6: Final answer
    x = 700.04

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