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Finding the Fourth Proportional to 1,714.41, 2,571.62 and 739.85

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Solution

The fourth proportional to 1,714.41, 2,571.62 and 739.85 is: 1,109.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.41 : 2,571.62 = 739.85 : x
  2. Step 2: Convert to fraction form
    1,714.41/2,571.62 = 739.85/x
  3. Step 3: Cross multiply
    1,714.41x = 2,571.62 × 739.85
  4. Step 4: Simplify right side
    1,714.41x = 1,902,596.50
  5. Step 5: Solve for x
    x = 1,902,596.50/1,714.41
  6. Step 6: Final answer
    x = 1,109.77

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Double scale
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Similar ratio
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1.5x scale

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.