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Finding the Fourth Proportional to 1,086.34, 1,628.28 and 538.91

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Solution

The fourth proportional to 1,086.34, 1,628.28 and 538.91 is: 807.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.34 : 1,628.28 = 538.91 : x
  2. Step 2: Convert to fraction form
    1,086.34/1,628.28 = 538.91/x
  3. Step 3: Cross multiply
    1,086.34x = 1,628.28 × 538.91
  4. Step 4: Simplify right side
    1,086.34x = 877,496.37
  5. Step 5: Solve for x
    x = 877,496.37/1,086.34
  6. Step 6: Final answer
    x = 807.76

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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.