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Finding the Fourth Proportional to 884.40, 1,323.90 and 787.20

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Solution

The fourth proportional to 884.40, 1,323.90 and 787.20 is: 1,178.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.40 : 1,323.90 = 787.20 : x
  2. Step 2: Convert to fraction form
    884.40/1,323.90 = 787.20/x
  3. Step 3: Cross multiply
    884.40x = 1,323.90 × 787.20
  4. Step 4: Simplify right side
    884.40x = 1,042,174.08
  5. Step 5: Solve for x
    x = 1,042,174.08/884.40
  6. Step 6: Final answer
    x = 1,178.40

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Why These Related Problems?

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