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Finding the Fourth Proportional to 1,074.06, 1,610.84 and 784.97

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Solution

The fourth proportional to 1,074.06, 1,610.84 and 784.97 is: 1,177.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.06 : 1,610.84 = 784.97 : x
  2. Step 2: Convert to fraction form
    1,074.06/1,610.84 = 784.97/x
  3. Step 3: Cross multiply
    1,074.06x = 1,610.84 × 784.97
  4. Step 4: Simplify right side
    1,074.06x = 1,264,453.24
  5. Step 5: Solve for x
    x = 1,264,453.24/1,074.06
  6. Step 6: Final answer
    x = 1,177.26

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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.