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Finding the Fourth Proportional to 1,462.65, 2,194.88 and 640.98

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Solution

The fourth proportional to 1,462.65, 2,194.88 and 640.98 is: 961.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.65 : 2,194.88 = 640.98 : x
  2. Step 2: Convert to fraction form
    1,462.65/2,194.88 = 640.98/x
  3. Step 3: Cross multiply
    1,462.65x = 2,194.88 × 640.98
  4. Step 4: Simplify right side
    1,462.65x = 1,406,870.98
  5. Step 5: Solve for x
    x = 1,406,870.98/1,462.65
  6. Step 6: Final answer
    x = 961.86

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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.