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Finding the Fourth Proportional to 1,034.12, 1,427.24 and 661.28

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Solution

The fourth proportional to 1,034.12, 1,427.24 and 661.28 is: 912.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.12 : 1,427.24 = 661.28 : x
  2. Step 2: Convert to fraction form
    1,034.12/1,427.24 = 661.28/x
  3. Step 3: Cross multiply
    1,034.12x = 1,427.24 × 661.28
  4. Step 4: Simplify right side
    1,034.12x = 943,805.27
  5. Step 5: Solve for x
    x = 943,805.27/1,034.12
  6. Step 6: Final answer
    x = 912.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.