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Finding the Fourth Proportional to 1,165.66, 1,609.61 and 966.33

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Solution

The fourth proportional to 1,165.66, 1,609.61 and 966.33 is: 1,334.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.66 : 1,609.61 = 966.33 : x
  2. Step 2: Convert to fraction form
    1,165.66/1,609.61 = 966.33/x
  3. Step 3: Cross multiply
    1,165.66x = 1,609.61 × 966.33
  4. Step 4: Simplify right side
    1,165.66x = 1,555,409.60
  5. Step 5: Solve for x
    x = 1,555,409.60/1,165.66
  6. Step 6: Final answer
    x = 1,334.36

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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.