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Finding the Fourth Proportional to 1,074.54, 1,610.72 and 416.24

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Solution

The fourth proportional to 1,074.54, 1,610.72 and 416.24 is: 623.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.54 : 1,610.72 = 416.24 : x
  2. Step 2: Convert to fraction form
    1,074.54/1,610.72 = 416.24/x
  3. Step 3: Cross multiply
    1,074.54x = 1,610.72 × 416.24
  4. Step 4: Simplify right side
    1,074.54x = 670,446.09
  5. Step 5: Solve for x
    x = 670,446.09/1,074.54
  6. Step 6: Final answer
    x = 623.94

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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.