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Finding the Fourth Proportional to 1,086.39, 1,628.65 and 436.77

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Solution

The fourth proportional to 1,086.39, 1,628.65 and 436.77 is: 654.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.39 : 1,628.65 = 436.77 : x
  2. Step 2: Convert to fraction form
    1,086.39/1,628.65 = 436.77/x
  3. Step 3: Cross multiply
    1,086.39x = 1,628.65 × 436.77
  4. Step 4: Simplify right side
    1,086.39x = 711,345.46
  5. Step 5: Solve for x
    x = 711,345.46/1,086.39
  6. Step 6: Final answer
    x = 654.78

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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.