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Finding the Fourth Proportional to 1,613.45, 2,420.36 and 517.43

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Solution

The fourth proportional to 1,613.45, 2,420.36 and 517.43 is: 776.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.45 : 2,420.36 = 517.43 : x
  2. Step 2: Convert to fraction form
    1,613.45/2,420.36 = 517.43/x
  3. Step 3: Cross multiply
    1,613.45x = 2,420.36 × 517.43
  4. Step 4: Simplify right side
    1,613.45x = 1,252,364.29
  5. Step 5: Solve for x
    x = 1,252,364.29/1,613.45
  6. Step 6: Final answer
    x = 776.20

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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.