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Finding the Fourth Proportional to 1,164.24, 1,606.62 and 640.28

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Solution

The fourth proportional to 1,164.24, 1,606.62 and 640.28 is: 883.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.24 : 1,606.62 = 640.28 : x
  2. Step 2: Convert to fraction form
    1,164.24/1,606.62 = 640.28/x
  3. Step 3: Cross multiply
    1,164.24x = 1,606.62 × 640.28
  4. Step 4: Simplify right side
    1,164.24x = 1,028,678.62
  5. Step 5: Solve for x
    x = 1,028,678.62/1,164.24
  6. Step 6: Final answer
    x = 883.56

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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.