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Finding the Fourth Proportional to 1,074.24, 1,609.84 and 457.33

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Solution

The fourth proportional to 1,074.24, 1,609.84 and 457.33 is: 685.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.24 : 1,609.84 = 457.33 : x
  2. Step 2: Convert to fraction form
    1,074.24/1,609.84 = 457.33/x
  3. Step 3: Cross multiply
    1,074.24x = 1,609.84 × 457.33
  4. Step 4: Simplify right side
    1,074.24x = 736,224.45
  5. Step 5: Solve for x
    x = 736,224.45/1,074.24
  6. Step 6: Final answer
    x = 685.34

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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.