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Finding the Fourth Proportional to 1,668.16, 2,502.48 and 514

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Solution

The fourth proportional to 1,668.16, 2,502.48 and 514 is: 771.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.16 : 2,502.48 = 514 : x
  2. Step 2: Convert to fraction form
    1,668.16/2,502.48 = 514/x
  3. Step 3: Cross multiply
    1,668.16x = 2,502.48 × 514
  4. Step 4: Simplify right side
    1,668.16x = 1,286,274.72
  5. Step 5: Solve for x
    x = 1,286,274.72/1,668.16
  6. Step 6: Final answer
    x = 771.07

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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.