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Finding the Fourth Proportional to 1,086.60, 1,628.70 and 566.40

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Solution

The fourth proportional to 1,086.60, 1,628.70 and 566.40 is: 848.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.60 : 1,628.70 = 566.40 : x
  2. Step 2: Convert to fraction form
    1,086.60/1,628.70 = 566.40/x
  3. Step 3: Cross multiply
    1,086.60x = 1,628.70 × 566.40
  4. Step 4: Simplify right side
    1,086.60x = 922,495.68
  5. Step 5: Solve for x
    x = 922,495.68/1,086.60
  6. Step 6: Final answer
    x = 848.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.