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Finding the Fourth Proportional to 1,185, 1,777.64 and 608.01

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Solution

The fourth proportional to 1,185, 1,777.64 and 608.01 is: 912.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185 : 1,777.64 = 608.01 : x
  2. Step 2: Convert to fraction form
    1,185/1,777.64 = 608.01/x
  3. Step 3: Cross multiply
    1,185x = 1,777.64 × 608.01
  4. Step 4: Simplify right side
    1,185x = 1,080,819.86
  5. Step 5: Solve for x
    x = 1,080,819.86/1,185
  6. Step 6: Final answer
    x = 912.08

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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.