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Finding the Fourth Proportional to 1,184.89, 1,635.15 and 660.91

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Solution

The fourth proportional to 1,184.89, 1,635.15 and 660.91 is: 912.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.89 : 1,635.15 = 660.91 : x
  2. Step 2: Convert to fraction form
    1,184.89/1,635.15 = 660.91/x
  3. Step 3: Cross multiply
    1,184.89x = 1,635.15 × 660.91
  4. Step 4: Simplify right side
    1,184.89x = 1,080,686.99
  5. Step 5: Solve for x
    x = 1,080,686.99/1,184.89
  6. Step 6: Final answer
    x = 912.06

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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.