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Finding the Fourth Proportional to 1,613.91, 2,421.50 and 640.29

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Solution

The fourth proportional to 1,613.91, 2,421.50 and 640.29 is: 960.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.91 : 2,421.50 = 640.29 : x
  2. Step 2: Convert to fraction form
    1,613.91/2,421.50 = 640.29/x
  3. Step 3: Cross multiply
    1,613.91x = 2,421.50 × 640.29
  4. Step 4: Simplify right side
    1,613.91x = 1,550,459.03
  5. Step 5: Solve for x
    x = 1,550,459.03/1,613.91
  6. Step 6: Final answer
    x = 960.68

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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.