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Finding the Fourth Proportional to 1,013.52, 1,520.29 and 283.08

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Solution

The fourth proportional to 1,013.52, 1,520.29 and 283.08 is: 424.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.52 : 1,520.29 = 283.08 : x
  2. Step 2: Convert to fraction form
    1,013.52/1,520.29 = 283.08/x
  3. Step 3: Cross multiply
    1,013.52x = 1,520.29 × 283.08
  4. Step 4: Simplify right side
    1,013.52x = 430,369.75
  5. Step 5: Solve for x
    x = 430,369.75/1,013.52
  6. Step 6: Final answer
    x = 424.63

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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.