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Finding the Fourth Proportional to 1,714.58, 2,572.02 and 481.98

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Solution

The fourth proportional to 1,714.58, 2,572.02 and 481.98 is: 723.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.58 : 2,572.02 = 481.98 : x
  2. Step 2: Convert to fraction form
    1,714.58/2,572.02 = 481.98/x
  3. Step 3: Cross multiply
    1,714.58x = 2,572.02 × 481.98
  4. Step 4: Simplify right side
    1,714.58x = 1,239,662.20
  5. Step 5: Solve for x
    x = 1,239,662.20/1,714.58
  6. Step 6: Final answer
    x = 723.01

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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.