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Finding the Fourth Proportional to 1,034.76, 1,563.87 and 1,016.84

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Solution

The fourth proportional to 1,034.76, 1,563.87 and 1,016.84 is: 1,536.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.76 : 1,563.87 = 1,016.84 : x
  2. Step 2: Convert to fraction form
    1,034.76/1,563.87 = 1,016.84/x
  3. Step 3: Cross multiply
    1,034.76x = 1,563.87 × 1,016.84
  4. Step 4: Simplify right side
    1,034.76x = 1,590,205.57
  5. Step 5: Solve for x
    x = 1,590,205.57/1,034.76
  6. Step 6: Final answer
    x = 1,536.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.