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Finding the Fourth Proportional to 1,164.12, 1,606.47 and 640.17

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Solution

The fourth proportional to 1,164.12, 1,606.47 and 640.17 is: 883.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.12 : 1,606.47 = 640.17 : x
  2. Step 2: Convert to fraction form
    1,164.12/1,606.47 = 640.17/x
  3. Step 3: Cross multiply
    1,164.12x = 1,606.47 × 640.17
  4. Step 4: Simplify right side
    1,164.12x = 1,028,413.90
  5. Step 5: Solve for x
    x = 1,028,413.90/1,164.12
  6. Step 6: Final answer
    x = 883.43

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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.