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Finding the Fourth Proportional to 1,342.50, 2,014.02 and 649.65

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Solution

The fourth proportional to 1,342.50, 2,014.02 and 649.65 is: 974.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.50 : 2,014.02 = 649.65 : x
  2. Step 2: Convert to fraction form
    1,342.50/2,014.02 = 649.65/x
  3. Step 3: Cross multiply
    1,342.50x = 2,014.02 × 649.65
  4. Step 4: Simplify right side
    1,342.50x = 1,308,408.09
  5. Step 5: Solve for x
    x = 1,308,408.09/1,342.50
  6. Step 6: Final answer
    x = 974.61

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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.