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Finding the Fourth Proportional to 1,253.16, 1,725.66 and 1,074.80

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Solution

The fourth proportional to 1,253.16, 1,725.66 and 1,074.80 is: 1,480.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.16 : 1,725.66 = 1,074.80 : x
  2. Step 2: Convert to fraction form
    1,253.16/1,725.66 = 1,074.80/x
  3. Step 3: Cross multiply
    1,253.16x = 1,725.66 × 1,074.80
  4. Step 4: Simplify right side
    1,253.16x = 1,854,739.37
  5. Step 5: Solve for x
    x = 1,854,739.37/1,253.16
  6. Step 6: Final answer
    x = 1,480.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.