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Finding the Fourth Proportional to 1,668.43, 2,502.63 and 514.18

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Solution

The fourth proportional to 1,668.43, 2,502.63 and 514.18 is: 771.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.43 : 2,502.63 = 514.18 : x
  2. Step 2: Convert to fraction form
    1,668.43/2,502.63 = 514.18/x
  3. Step 3: Cross multiply
    1,668.43x = 2,502.63 × 514.18
  4. Step 4: Simplify right side
    1,668.43x = 1,286,796.04
  5. Step 5: Solve for x
    x = 1,286,796.04/1,668.43
  6. Step 6: Final answer
    x = 771.26

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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.