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Finding the Fourth Proportional to 1,159.44, 1,739.18 and 389.94

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Solution

The fourth proportional to 1,159.44, 1,739.18 and 389.94 is: 584.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.44 : 1,739.18 = 389.94 : x
  2. Step 2: Convert to fraction form
    1,159.44/1,739.18 = 389.94/x
  3. Step 3: Cross multiply
    1,159.44x = 1,739.18 × 389.94
  4. Step 4: Simplify right side
    1,159.44x = 678,175.85
  5. Step 5: Solve for x
    x = 678,175.85/1,159.44
  6. Step 6: Final answer
    x = 584.92

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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.