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Finding the Fourth Proportional to 1,164.56, 1,607.25 and 1,066.14

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Solution

The fourth proportional to 1,164.56, 1,607.25 and 1,066.14 is: 1,471.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.56 : 1,607.25 = 1,066.14 : x
  2. Step 2: Convert to fraction form
    1,164.56/1,607.25 = 1,066.14/x
  3. Step 3: Cross multiply
    1,164.56x = 1,607.25 × 1,066.14
  4. Step 4: Simplify right side
    1,164.56x = 1,713,553.52
  5. Step 5: Solve for x
    x = 1,713,553.52/1,164.56
  6. Step 6: Final answer
    x = 1,471.42

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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.