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Finding the Fourth Proportional to 1,371.86, 1,893.02 and 774.26

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Solution

The fourth proportional to 1,371.86, 1,893.02 and 774.26 is: 1,068.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.86 : 1,893.02 = 774.26 : x
  2. Step 2: Convert to fraction form
    1,371.86/1,893.02 = 774.26/x
  3. Step 3: Cross multiply
    1,371.86x = 1,893.02 × 774.26
  4. Step 4: Simplify right side
    1,371.86x = 1,465,676.33
  5. Step 5: Solve for x
    x = 1,465,676.33/1,371.86
  6. Step 6: Final answer
    x = 1,068.39

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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.