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Finding the Fourth Proportional to 1,407.28, 2,110.96 and 636.88

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Solution

The fourth proportional to 1,407.28, 2,110.96 and 636.88 is: 955.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.28 : 2,110.96 = 636.88 : x
  2. Step 2: Convert to fraction form
    1,407.28/2,110.96 = 636.88/x
  3. Step 3: Cross multiply
    1,407.28x = 2,110.96 × 636.88
  4. Step 4: Simplify right side
    1,407.28x = 1,344,428.20
  5. Step 5: Solve for x
    x = 1,344,428.20/1,407.28
  6. Step 6: Final answer
    x = 955.34

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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.