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Finding the Fourth Proportional to 1,164.34, 1,606.79 and 667.00

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Solution

The fourth proportional to 1,164.34, 1,606.79 and 667.00 is: 920.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.34 : 1,606.79 = 667.00 : x
  2. Step 2: Convert to fraction form
    1,164.34/1,606.79 = 667.00/x
  3. Step 3: Cross multiply
    1,164.34x = 1,606.79 × 667.00
  4. Step 4: Simplify right side
    1,164.34x = 1,071,726.58
  5. Step 5: Solve for x
    x = 1,071,726.58/1,164.34
  6. Step 6: Final answer
    x = 920.46

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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.