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Finding the Fourth Proportional to 1,011.74, 1,517.64 and 395.60

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Solution

The fourth proportional to 1,011.74, 1,517.64 and 395.60 is: 593.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.74 : 1,517.64 = 395.60 : x
  2. Step 2: Convert to fraction form
    1,011.74/1,517.64 = 395.60/x
  3. Step 3: Cross multiply
    1,011.74x = 1,517.64 × 395.60
  4. Step 4: Simplify right side
    1,011.74x = 600,378.38
  5. Step 5: Solve for x
    x = 600,378.38/1,011.74
  6. Step 6: Final answer
    x = 593.41

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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.