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Finding the Fourth Proportional to 1,087.77, 1,628.61 and 566.64

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Solution

The fourth proportional to 1,087.77, 1,628.61 and 566.64 is: 848.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.77 : 1,628.61 = 566.64 : x
  2. Step 2: Convert to fraction form
    1,087.77/1,628.61 = 566.64/x
  3. Step 3: Cross multiply
    1,087.77x = 1,628.61 × 566.64
  4. Step 4: Simplify right side
    1,087.77x = 922,827.43
  5. Step 5: Solve for x
    x = 922,827.43/1,087.77
  6. Step 6: Final answer
    x = 848.37

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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.