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Finding the Fourth Proportional to 1,013.57, 1,520.43 and 283.15

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Solution

The fourth proportional to 1,013.57, 1,520.43 and 283.15 is: 424.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.57 : 1,520.43 = 283.15 : x
  2. Step 2: Convert to fraction form
    1,013.57/1,520.43 = 283.15/x
  3. Step 3: Cross multiply
    1,013.57x = 1,520.43 × 283.15
  4. Step 4: Simplify right side
    1,013.57x = 430,509.75
  5. Step 5: Solve for x
    x = 430,509.75/1,013.57
  6. Step 6: Final answer
    x = 424.75

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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.