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Finding the Fourth Proportional to 1,764.75, 2,646.06 and 725.25

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Solution

The fourth proportional to 1,764.75, 2,646.06 and 725.25 is: 1,087.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.75 : 2,646.06 = 725.25 : x
  2. Step 2: Convert to fraction form
    1,764.75/2,646.06 = 725.25/x
  3. Step 3: Cross multiply
    1,764.75x = 2,646.06 × 725.25
  4. Step 4: Simplify right side
    1,764.75x = 1,919,055.02
  5. Step 5: Solve for x
    x = 1,919,055.02/1,764.75
  6. Step 6: Final answer
    x = 1,087.44

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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.