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Finding the Fourth Proportional to 1,288.46, 1,932.23 and 466.52

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Solution

The fourth proportional to 1,288.46, 1,932.23 and 466.52 is: 699.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.46 : 1,932.23 = 466.52 : x
  2. Step 2: Convert to fraction form
    1,288.46/1,932.23 = 466.52/x
  3. Step 3: Cross multiply
    1,288.46x = 1,932.23 × 466.52
  4. Step 4: Simplify right side
    1,288.46x = 901,411.95
  5. Step 5: Solve for x
    x = 901,411.95/1,288.46
  6. Step 6: Final answer
    x = 699.61

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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.