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Finding the Fourth Proportional to 1,074.08, 1,610.68 and 727.51

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Solution

The fourth proportional to 1,074.08, 1,610.68 and 727.51 is: 1,090.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.08 : 1,610.68 = 727.51 : x
  2. Step 2: Convert to fraction form
    1,074.08/1,610.68 = 727.51/x
  3. Step 3: Cross multiply
    1,074.08x = 1,610.68 × 727.51
  4. Step 4: Simplify right side
    1,074.08x = 1,171,779.96
  5. Step 5: Solve for x
    x = 1,171,779.96/1,074.08
  6. Step 6: Final answer
    x = 1,090.96

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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.