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Finding the Fourth Proportional to 1,013.43, 1,520.19 and 283.05

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Solution

The fourth proportional to 1,013.43, 1,520.19 and 283.05 is: 424.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.43 : 1,520.19 = 283.05 : x
  2. Step 2: Convert to fraction form
    1,013.43/1,520.19 = 283.05/x
  3. Step 3: Cross multiply
    1,013.43x = 1,520.19 × 283.05
  4. Step 4: Simplify right side
    1,013.43x = 430,289.78
  5. Step 5: Solve for x
    x = 430,289.78/1,013.43
  6. Step 6: Final answer
    x = 424.59

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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.