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Finding the Fourth Proportional to 1,074.53, 1,610.64 and 704.19

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Solution

The fourth proportional to 1,074.53, 1,610.64 and 704.19 is: 1,055.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.53 : 1,610.64 = 704.19 : x
  2. Step 2: Convert to fraction form
    1,074.53/1,610.64 = 704.19/x
  3. Step 3: Cross multiply
    1,074.53x = 1,610.64 × 704.19
  4. Step 4: Simplify right side
    1,074.53x = 1,134,196.58
  5. Step 5: Solve for x
    x = 1,134,196.58/1,074.53
  6. Step 6: Final answer
    x = 1,055.53

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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.