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Finding the Fourth Proportional to 1,288.06, 1,932.09 and 314.17

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Solution

The fourth proportional to 1,288.06, 1,932.09 and 314.17 is: 471.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.06 : 1,932.09 = 314.17 : x
  2. Step 2: Convert to fraction form
    1,288.06/1,932.09 = 314.17/x
  3. Step 3: Cross multiply
    1,288.06x = 1,932.09 × 314.17
  4. Step 4: Simplify right side
    1,288.06x = 607,004.72
  5. Step 5: Solve for x
    x = 607,004.72/1,288.06
  6. Step 6: Final answer
    x = 471.26

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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.