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Finding the Fourth Proportional to 1,013.85, 1,520.78 and 283.43

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Solution

The fourth proportional to 1,013.85, 1,520.78 and 283.43 is: 425.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.85 : 1,520.78 = 283.43 : x
  2. Step 2: Convert to fraction form
    1,013.85/1,520.78 = 283.43/x
  3. Step 3: Cross multiply
    1,013.85x = 1,520.78 × 283.43
  4. Step 4: Simplify right side
    1,013.85x = 431,037.06
  5. Step 5: Solve for x
    x = 431,037.06/1,013.85
  6. Step 6: Final answer
    x = 425.15

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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.