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Finding the Fourth Proportional to 1,086.17, 1,498.70 and 643.91

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Solution

The fourth proportional to 1,086.17, 1,498.70 and 643.91 is: 888.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.17 : 1,498.70 = 643.91 : x
  2. Step 2: Convert to fraction form
    1,086.17/1,498.70 = 643.91/x
  3. Step 3: Cross multiply
    1,086.17x = 1,498.70 × 643.91
  4. Step 4: Simplify right side
    1,086.17x = 965,022.03
  5. Step 5: Solve for x
    x = 965,022.03/1,086.17
  6. Step 6: Final answer
    x = 888.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.