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Finding the Fourth Proportional to 1,288.74, 1,783.15 and 1,123.30

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Solution

The fourth proportional to 1,288.74, 1,783.15 and 1,123.30 is: 1,554.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.74 : 1,783.15 = 1,123.30 : x
  2. Step 2: Convert to fraction form
    1,288.74/1,783.15 = 1,123.30/x
  3. Step 3: Cross multiply
    1,288.74x = 1,783.15 × 1,123.30
  4. Step 4: Simplify right side
    1,288.74x = 2,003,005.13
  5. Step 5: Solve for x
    x = 2,003,005.13/1,288.74
  6. Step 6: Final answer
    x = 1,554.24

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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.