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Finding the Fourth Proportional to 1,516.82, 2,275.20 and 421.20

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Solution

The fourth proportional to 1,516.82, 2,275.20 and 421.20 is: 631.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.82 : 2,275.20 = 421.20 : x
  2. Step 2: Convert to fraction form
    1,516.82/2,275.20 = 421.20/x
  3. Step 3: Cross multiply
    1,516.82x = 2,275.20 × 421.20
  4. Step 4: Simplify right side
    1,516.82x = 958,314.24
  5. Step 5: Solve for x
    x = 958,314.24/1,516.82
  6. Step 6: Final answer
    x = 631.79

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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.