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Finding the Fourth Proportional to 1,167.09, 1,610.72 and 669.75

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Solution

The fourth proportional to 1,167.09, 1,610.72 and 669.75 is: 924.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.09 : 1,610.72 = 669.75 : x
  2. Step 2: Convert to fraction form
    1,167.09/1,610.72 = 669.75/x
  3. Step 3: Cross multiply
    1,167.09x = 1,610.72 × 669.75
  4. Step 4: Simplify right side
    1,167.09x = 1,078,779.72
  5. Step 5: Solve for x
    x = 1,078,779.72/1,167.09
  6. Step 6: Final answer
    x = 924.33

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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.