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Finding the Fourth Proportional to 1,086.92, 1,629.01 and 624.00

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Solution

The fourth proportional to 1,086.92, 1,629.01 and 624.00 is: 935.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.92 : 1,629.01 = 624.00 : x
  2. Step 2: Convert to fraction form
    1,086.92/1,629.01 = 624.00/x
  3. Step 3: Cross multiply
    1,086.92x = 1,629.01 × 624.00
  4. Step 4: Simplify right side
    1,086.92x = 1,016,509.13
  5. Step 5: Solve for x
    x = 1,016,509.13/1,086.92
  6. Step 6: Final answer
    x = 935.22

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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.