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Finding the Fourth Proportional to 1,159.20, 1,738.98 and 379.35

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Solution

The fourth proportional to 1,159.20, 1,738.98 and 379.35 is: 569.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.20 : 1,738.98 = 379.35 : x
  2. Step 2: Convert to fraction form
    1,159.20/1,738.98 = 379.35/x
  3. Step 3: Cross multiply
    1,159.20x = 1,738.98 × 379.35
  4. Step 4: Simplify right side
    1,159.20x = 659,682.06
  5. Step 5: Solve for x
    x = 659,682.06/1,159.20
  6. Step 6: Final answer
    x = 569.08

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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.