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Finding the Fourth Proportional to 1,787.40, 2,679.80 and 554.09

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Solution

The fourth proportional to 1,787.40, 2,679.80 and 554.09 is: 830.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.40 : 2,679.80 = 554.09 : x
  2. Step 2: Convert to fraction form
    1,787.40/2,679.80 = 554.09/x
  3. Step 3: Cross multiply
    1,787.40x = 2,679.80 × 554.09
  4. Step 4: Simplify right side
    1,787.40x = 1,484,834.21
  5. Step 5: Solve for x
    x = 1,484,834.21/1,787.40
  6. Step 6: Final answer
    x = 830.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.