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Finding the Fourth Proportional to 1,086.82, 1,630.22 and 265.11

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Solution

The fourth proportional to 1,086.82, 1,630.22 and 265.11 is: 397.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.82 : 1,630.22 = 265.11 : x
  2. Step 2: Convert to fraction form
    1,086.82/1,630.22 = 265.11/x
  3. Step 3: Cross multiply
    1,086.82x = 1,630.22 × 265.11
  4. Step 4: Simplify right side
    1,086.82x = 432,179.47
  5. Step 5: Solve for x
    x = 432,179.47/1,086.82
  6. Step 6: Final answer
    x = 397.66

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1.5x scale

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.