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Finding the Fourth Proportional to 1,143.16, 1,714.26 and 449.72

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Solution

The fourth proportional to 1,143.16, 1,714.26 and 449.72 is: 674.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.16 : 1,714.26 = 449.72 : x
  2. Step 2: Convert to fraction form
    1,143.16/1,714.26 = 449.72/x
  3. Step 3: Cross multiply
    1,143.16x = 1,714.26 × 449.72
  4. Step 4: Simplify right side
    1,143.16x = 770,937.01
  5. Step 5: Solve for x
    x = 770,937.01/1,143.16
  6. Step 6: Final answer
    x = 674.39

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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.