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Finding the Fourth Proportional to 1,142.98, 1,714.92 and 449.82

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Solution

The fourth proportional to 1,142.98, 1,714.92 and 449.82 is: 674.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.98 : 1,714.92 = 449.82 : x
  2. Step 2: Convert to fraction form
    1,142.98/1,714.92 = 449.82/x
  3. Step 3: Cross multiply
    1,142.98x = 1,714.92 × 449.82
  4. Step 4: Simplify right side
    1,142.98x = 771,405.31
  5. Step 5: Solve for x
    x = 771,405.31/1,142.98
  6. Step 6: Final answer
    x = 674.91

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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.