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Finding the Fourth Proportional to 1,424.88, 1,965.90 and 865.68

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Solution

The fourth proportional to 1,424.88, 1,965.90 and 865.68 is: 1,194.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.88 : 1,965.90 = 865.68 : x
  2. Step 2: Convert to fraction form
    1,424.88/1,965.90 = 865.68/x
  3. Step 3: Cross multiply
    1,424.88x = 1,965.90 × 865.68
  4. Step 4: Simplify right side
    1,424.88x = 1,701,840.31
  5. Step 5: Solve for x
    x = 1,701,840.31/1,424.88
  6. Step 6: Final answer
    x = 1,194.37

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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.