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Finding the Fourth Proportional to 1,167.14, 1,610.69 and 643.17

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Solution

The fourth proportional to 1,167.14, 1,610.69 and 643.17 is: 887.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.14 : 1,610.69 = 643.17 : x
  2. Step 2: Convert to fraction form
    1,167.14/1,610.69 = 643.17/x
  3. Step 3: Cross multiply
    1,167.14x = 1,610.69 × 643.17
  4. Step 4: Simplify right side
    1,167.14x = 1,035,944.27
  5. Step 5: Solve for x
    x = 1,035,944.27/1,167.14
  6. Step 6: Final answer
    x = 887.60

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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.