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Finding the Fourth Proportional to 1,114.43, 1,671.68 and 334.43

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Solution

The fourth proportional to 1,114.43, 1,671.68 and 334.43 is: 501.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.43 : 1,671.68 = 334.43 : x
  2. Step 2: Convert to fraction form
    1,114.43/1,671.68 = 334.43/x
  3. Step 3: Cross multiply
    1,114.43x = 1,671.68 × 334.43
  4. Step 4: Simplify right side
    1,114.43x = 559,049.91
  5. Step 5: Solve for x
    x = 559,049.91/1,114.43
  6. Step 6: Final answer
    x = 501.65

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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.