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Finding the Fourth Proportional to 1,023.40, 1,535.04 and 253.88

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Solution

The fourth proportional to 1,023.40, 1,535.04 and 253.88 is: 380.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.40 : 1,535.04 = 253.88 : x
  2. Step 2: Convert to fraction form
    1,023.40/1,535.04 = 253.88/x
  3. Step 3: Cross multiply
    1,023.40x = 1,535.04 × 253.88
  4. Step 4: Simplify right side
    1,023.40x = 389,715.96
  5. Step 5: Solve for x
    x = 389,715.96/1,023.40
  6. Step 6: Final answer
    x = 380.81

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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.