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Finding the Fourth Proportional to 1,109.58, 1,664.43 and 416.43

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Solution

The fourth proportional to 1,109.58, 1,664.43 and 416.43 is: 624.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.58 : 1,664.43 = 416.43 : x
  2. Step 2: Convert to fraction form
    1,109.58/1,664.43 = 416.43/x
  3. Step 3: Cross multiply
    1,109.58x = 1,664.43 × 416.43
  4. Step 4: Simplify right side
    1,109.58x = 693,118.58
  5. Step 5: Solve for x
    x = 693,118.58/1,109.58
  6. Step 6: Final answer
    x = 624.67

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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.