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Finding the Fourth Proportional to 925.88, 1,277.20 and 594.20

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Solution

The fourth proportional to 925.88, 1,277.20 and 594.20 is: 819.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.88 : 1,277.20 = 594.20 : x
  2. Step 2: Convert to fraction form
    925.88/1,277.20 = 594.20/x
  3. Step 3: Cross multiply
    925.88x = 1,277.20 × 594.20
  4. Step 4: Simplify right side
    925.88x = 758,912.24
  5. Step 5: Solve for x
    x = 758,912.24/925.88
  6. Step 6: Final answer
    x = 819.67

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