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Finding the Fourth Proportional to 1,348.79, 2,023.28 and 458.96

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Solution

The fourth proportional to 1,348.79, 2,023.28 and 458.96 is: 688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.79 : 2,023.28 = 458.96 : x
  2. Step 2: Convert to fraction form
    1,348.79/2,023.28 = 458.96/x
  3. Step 3: Cross multiply
    1,348.79x = 2,023.28 × 458.96
  4. Step 4: Simplify right side
    1,348.79x = 928,604.59
  5. Step 5: Solve for x
    x = 928,604.59/1,348.79
  6. Step 6: Final answer
    x = 688.47

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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.