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Finding the Fourth Proportional to 1,086.82, 1,630.32 and 437.46

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Solution

The fourth proportional to 1,086.82, 1,630.32 and 437.46 is: 656.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.82 : 1,630.32 = 437.46 : x
  2. Step 2: Convert to fraction form
    1,086.82/1,630.32 = 437.46/x
  3. Step 3: Cross multiply
    1,086.82x = 1,630.32 × 437.46
  4. Step 4: Simplify right side
    1,086.82x = 713,199.79
  5. Step 5: Solve for x
    x = 713,199.79/1,086.82
  6. Step 6: Final answer
    x = 656.23

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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.