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Finding the Fourth Proportional to 925.21, 1,277.74 and 704.69

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Solution

The fourth proportional to 925.21, 1,277.74 and 704.69 is: 973.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.21 : 1,277.74 = 704.69 : x
  2. Step 2: Convert to fraction form
    925.21/1,277.74 = 704.69/x
  3. Step 3: Cross multiply
    925.21x = 1,277.74 × 704.69
  4. Step 4: Simplify right side
    925.21x = 900,410.60
  5. Step 5: Solve for x
    x = 900,410.60/925.21
  6. Step 6: Final answer
    x = 973.20

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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.