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Finding the Fourth Proportional to 1,353.28, 2,030.20 and 475.88

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Solution

The fourth proportional to 1,353.28, 2,030.20 and 475.88 is: 713.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.28 : 2,030.20 = 475.88 : x
  2. Step 2: Convert to fraction form
    1,353.28/2,030.20 = 475.88/x
  3. Step 3: Cross multiply
    1,353.28x = 2,030.20 × 475.88
  4. Step 4: Simplify right side
    1,353.28x = 966,131.58
  5. Step 5: Solve for x
    x = 966,131.58/1,353.28
  6. Step 6: Final answer
    x = 713.92

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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.