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Finding the Fourth Proportional to 1,288.99, 1,783.50 and 1,123.55

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Solution

The fourth proportional to 1,288.99, 1,783.50 and 1,123.55 is: 1,554.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.99 : 1,783.50 = 1,123.55 : x
  2. Step 2: Convert to fraction form
    1,288.99/1,783.50 = 1,123.55/x
  3. Step 3: Cross multiply
    1,288.99x = 1,783.50 × 1,123.55
  4. Step 4: Simplify right side
    1,288.99x = 2,003,851.43
  5. Step 5: Solve for x
    x = 2,003,851.43/1,288.99
  6. Step 6: Final answer
    x = 1,554.59

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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.