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Finding the Fourth Proportional to 1,158.75, 1,738.30 and 336.92

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Solution

The fourth proportional to 1,158.75, 1,738.30 and 336.92 is: 505.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.75 : 1,738.30 = 336.92 : x
  2. Step 2: Convert to fraction form
    1,158.75/1,738.30 = 336.92/x
  3. Step 3: Cross multiply
    1,158.75x = 1,738.30 × 336.92
  4. Step 4: Simplify right side
    1,158.75x = 585,666.28
  5. Step 5: Solve for x
    x = 585,666.28/1,158.75
  6. Step 6: Final answer
    x = 505.43

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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.