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Finding the Fourth Proportional to 1,159.34, 1,739.18 and 379.14

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Solution

The fourth proportional to 1,159.34, 1,739.18 and 379.14 is: 568.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.34 : 1,739.18 = 379.14 : x
  2. Step 2: Convert to fraction form
    1,159.34/1,739.18 = 379.14/x
  3. Step 3: Cross multiply
    1,159.34x = 1,739.18 × 379.14
  4. Step 4: Simplify right side
    1,159.34x = 659,390.81
  5. Step 5: Solve for x
    x = 659,390.81/1,159.34
  6. Step 6: Final answer
    x = 568.77

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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.