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Finding the Fourth Proportional to 1,194.01, 1,644.79 and 1,016.40

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Solution

The fourth proportional to 1,194.01, 1,644.79 and 1,016.40 is: 1,400.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.01 : 1,644.79 = 1,016.40 : x
  2. Step 2: Convert to fraction form
    1,194.01/1,644.79 = 1,016.40/x
  3. Step 3: Cross multiply
    1,194.01x = 1,644.79 × 1,016.40
  4. Step 4: Simplify right side
    1,194.01x = 1,671,764.56
  5. Step 5: Solve for x
    x = 1,671,764.56/1,194.01
  6. Step 6: Final answer
    x = 1,400.13

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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.