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Finding the Fourth Proportional to 1,013.79, 1,520.97 and 397.68

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Solution

The fourth proportional to 1,013.79, 1,520.97 and 397.68 is: 596.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.79 : 1,520.97 = 397.68 : x
  2. Step 2: Convert to fraction form
    1,013.79/1,520.97 = 397.68/x
  3. Step 3: Cross multiply
    1,013.79x = 1,520.97 × 397.68
  4. Step 4: Simplify right side
    1,013.79x = 604,853.27
  5. Step 5: Solve for x
    x = 604,853.27/1,013.79
  6. Step 6: Final answer
    x = 596.63

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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.