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Finding the Fourth Proportional to 1,404.22, 2,107.44 and 787.82

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Solution

The fourth proportional to 1,404.22, 2,107.44 and 787.82 is: 1,182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.22 : 2,107.44 = 787.82 : x
  2. Step 2: Convert to fraction form
    1,404.22/2,107.44 = 787.82/x
  3. Step 3: Cross multiply
    1,404.22x = 2,107.44 × 787.82
  4. Step 4: Simplify right side
    1,404.22x = 1,660,283.38
  5. Step 5: Solve for x
    x = 1,660,283.38/1,404.22
  6. Step 6: Final answer
    x = 1,182.35

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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.