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Finding the Fourth Proportional to 1,228.76, 1,695.49 and 704.69

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Solution

The fourth proportional to 1,228.76, 1,695.49 and 704.69 is: 972.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.76 : 1,695.49 = 704.69 : x
  2. Step 2: Convert to fraction form
    1,228.76/1,695.49 = 704.69/x
  3. Step 3: Cross multiply
    1,228.76x = 1,695.49 × 704.69
  4. Step 4: Simplify right side
    1,228.76x = 1,194,794.85
  5. Step 5: Solve for x
    x = 1,194,794.85/1,228.76
  6. Step 6: Final answer
    x = 972.36

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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.