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Finding the Fourth Proportional to 1,013.53, 1,520.03 and 684.30

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Solution

The fourth proportional to 1,013.53, 1,520.03 and 684.30 is: 1,026.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.53 : 1,520.03 = 684.30 : x
  2. Step 2: Convert to fraction form
    1,013.53/1,520.03 = 684.30/x
  3. Step 3: Cross multiply
    1,013.53x = 1,520.03 × 684.30
  4. Step 4: Simplify right side
    1,013.53x = 1,040,155.39
  5. Step 5: Solve for x
    x = 1,040,155.39/1,013.53
  6. Step 6: Final answer
    x = 1,026.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.