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Finding the Fourth Proportional to 1,185.78, 1,779.08 and 608.25

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Solution

The fourth proportional to 1,185.78, 1,779.08 and 608.25 is: 912.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.78 : 1,779.08 = 608.25 : x
  2. Step 2: Convert to fraction form
    1,185.78/1,779.08 = 608.25/x
  3. Step 3: Cross multiply
    1,185.78x = 1,779.08 × 608.25
  4. Step 4: Simplify right side
    1,185.78x = 1,082,122.37
  5. Step 5: Solve for x
    x = 1,082,122.37/1,185.78
  6. Step 6: Final answer
    x = 912.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.