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Finding the Fourth Proportional to 925, 1,276.50 and 552.14

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Solution

The fourth proportional to 925, 1,276.50 and 552.14 is: 761.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    925 : 1,276.50 = 552.14 : x
  2. Step 2: Convert to fraction form
    925/1,276.50 = 552.14/x
  3. Step 3: Cross multiply
    925x = 1,276.50 × 552.14
  4. Step 4: Simplify right side
    925x = 704,806.71
  5. Step 5: Solve for x
    x = 704,806.71/925
  6. Step 6: Final answer
    x = 761.95

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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.