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Finding the Fourth Proportional to 1,478.22, 2,216.72 and 504.40

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Solution

The fourth proportional to 1,478.22, 2,216.72 and 504.40 is: 756.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.22 : 2,216.72 = 504.40 : x
  2. Step 2: Convert to fraction form
    1,478.22/2,216.72 = 504.40/x
  3. Step 3: Cross multiply
    1,478.22x = 2,216.72 × 504.40
  4. Step 4: Simplify right side
    1,478.22x = 1,118,113.57
  5. Step 5: Solve for x
    x = 1,118,113.57/1,478.22
  6. Step 6: Final answer
    x = 756.39

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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.