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Finding the Fourth Proportional to 1,023.28, 1,410.80 and 690.96

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Solution

The fourth proportional to 1,023.28, 1,410.80 and 690.96 is: 952.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.28 : 1,410.80 = 690.96 : x
  2. Step 2: Convert to fraction form
    1,023.28/1,410.80 = 690.96/x
  3. Step 3: Cross multiply
    1,023.28x = 1,410.80 × 690.96
  4. Step 4: Simplify right side
    1,023.28x = 974,806.37
  5. Step 5: Solve for x
    x = 974,806.37/1,023.28
  6. Step 6: Final answer
    x = 952.63

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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.