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Finding the Fourth Proportional to 1,289.03, 1,777.55 and 1,103.14

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Solution

The fourth proportional to 1,289.03, 1,777.55 and 1,103.14 is: 1,521.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.03 : 1,777.55 = 1,103.14 : x
  2. Step 2: Convert to fraction form
    1,289.03/1,777.55 = 1,103.14/x
  3. Step 3: Cross multiply
    1,289.03x = 1,777.55 × 1,103.14
  4. Step 4: Simplify right side
    1,289.03x = 1,960,884.82
  5. Step 5: Solve for x
    x = 1,960,884.82/1,289.03
  6. Step 6: Final answer
    x = 1,521.21

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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.