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Finding the Fourth Proportional to 1,371.88, 1,893.04 and 782.38

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Solution

The fourth proportional to 1,371.88, 1,893.04 and 782.38 is: 1,079.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.88 : 1,893.04 = 782.38 : x
  2. Step 2: Convert to fraction form
    1,371.88/1,893.04 = 782.38/x
  3. Step 3: Cross multiply
    1,371.88x = 1,893.04 × 782.38
  4. Step 4: Simplify right side
    1,371.88x = 1,481,076.64
  5. Step 5: Solve for x
    x = 1,481,076.64/1,371.88
  6. Step 6: Final answer
    x = 1,079.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.