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Finding the Fourth Proportional to 1,087.14, 1,628.91 and 509.22

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Solution

The fourth proportional to 1,087.14, 1,628.91 and 509.22 is: 762.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.14 : 1,628.91 = 509.22 : x
  2. Step 2: Convert to fraction form
    1,087.14/1,628.91 = 509.22/x
  3. Step 3: Cross multiply
    1,087.14x = 1,628.91 × 509.22
  4. Step 4: Simplify right side
    1,087.14x = 829,473.55
  5. Step 5: Solve for x
    x = 829,473.55/1,087.14
  6. Step 6: Final answer
    x = 762.99

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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.