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Finding the Fourth Proportional to 1,086.80, 1,628.04 and 567.16

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Solution

The fourth proportional to 1,086.80, 1,628.04 and 567.16 is: 849.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.80 : 1,628.04 = 567.16 : x
  2. Step 2: Convert to fraction form
    1,086.80/1,628.04 = 567.16/x
  3. Step 3: Cross multiply
    1,086.80x = 1,628.04 × 567.16
  4. Step 4: Simplify right side
    1,086.80x = 923,359.17
  5. Step 5: Solve for x
    x = 923,359.17/1,086.80
  6. Step 6: Final answer
    x = 849.61

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Why These Related Problems?

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