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Finding the Fourth Proportional to 1,371.57, 2,058.57 and 641.55

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Solution

The fourth proportional to 1,371.57, 2,058.57 and 641.55 is: 962.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.57 : 2,058.57 = 641.55 : x
  2. Step 2: Convert to fraction form
    1,371.57/2,058.57 = 641.55/x
  3. Step 3: Cross multiply
    1,371.57x = 2,058.57 × 641.55
  4. Step 4: Simplify right side
    1,371.57x = 1,320,675.58
  5. Step 5: Solve for x
    x = 1,320,675.58/1,371.57
  6. Step 6: Final answer
    x = 962.89

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1.5x scale

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.