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Finding the Fourth Proportional to 1,164.14, 1,606.54 and 640.18

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Solution

The fourth proportional to 1,164.14, 1,606.54 and 640.18 is: 883.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.14 : 1,606.54 = 640.18 : x
  2. Step 2: Convert to fraction form
    1,164.14/1,606.54 = 640.18/x
  3. Step 3: Cross multiply
    1,164.14x = 1,606.54 × 640.18
  4. Step 4: Simplify right side
    1,164.14x = 1,028,474.78
  5. Step 5: Solve for x
    x = 1,028,474.78/1,164.14
  6. Step 6: Final answer
    x = 883.46

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Why These Related Problems?

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