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Finding the Fourth Proportional to 1,159.15, 1,738.55 and 379.15

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Solution

The fourth proportional to 1,159.15, 1,738.55 and 379.15 is: 568.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.15 : 1,738.55 = 379.15 : x
  2. Step 2: Convert to fraction form
    1,159.15/1,738.55 = 379.15/x
  3. Step 3: Cross multiply
    1,159.15x = 1,738.55 × 379.15
  4. Step 4: Simplify right side
    1,159.15x = 659,160.64
  5. Step 5: Solve for x
    x = 659,160.64/1,159.15
  6. Step 6: Final answer
    x = 568.66

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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.