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Finding the Fourth Proportional to 1,157.85, 1,736.84 and 336.10

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Solution

The fourth proportional to 1,157.85, 1,736.84 and 336.10 is: 504.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.85 : 1,736.84 = 336.10 : x
  2. Step 2: Convert to fraction form
    1,157.85/1,736.84 = 336.10/x
  3. Step 3: Cross multiply
    1,157.85x = 1,736.84 × 336.10
  4. Step 4: Simplify right side
    1,157.85x = 583,751.92
  5. Step 5: Solve for x
    x = 583,751.92/1,157.85
  6. Step 6: Final answer
    x = 504.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.