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Finding the Fourth Proportional to 1,011.61, 1,517.46 and 395.47

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Solution

The fourth proportional to 1,011.61, 1,517.46 and 395.47 is: 593.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.61 : 1,517.46 = 395.47 : x
  2. Step 2: Convert to fraction form
    1,011.61/1,517.46 = 395.47/x
  3. Step 3: Cross multiply
    1,011.61x = 1,517.46 × 395.47
  4. Step 4: Simplify right side
    1,011.61x = 600,109.91
  5. Step 5: Solve for x
    x = 600,109.91/1,011.61
  6. Step 6: Final answer
    x = 593.22

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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.