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Finding the Fourth Proportional to 1,478.88, 2,216.84 and 504.32

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Solution

The fourth proportional to 1,478.88, 2,216.84 and 504.32 is: 755.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.88 : 2,216.84 = 504.32 : x
  2. Step 2: Convert to fraction form
    1,478.88/2,216.84 = 504.32/x
  3. Step 3: Cross multiply
    1,478.88x = 2,216.84 × 504.32
  4. Step 4: Simplify right side
    1,478.88x = 1,117,983.14
  5. Step 5: Solve for x
    x = 1,117,983.14/1,478.88
  6. Step 6: Final answer
    x = 755.97

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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.