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Finding the Fourth Proportional to 1,157.38, 1,736.08 and 387.88

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Solution

The fourth proportional to 1,157.38, 1,736.08 and 387.88 is: 581.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.38 : 1,736.08 = 387.88 : x
  2. Step 2: Convert to fraction form
    1,157.38/1,736.08 = 387.88/x
  3. Step 3: Cross multiply
    1,157.38x = 1,736.08 × 387.88
  4. Step 4: Simplify right side
    1,157.38x = 673,390.71
  5. Step 5: Solve for x
    x = 673,390.71/1,157.38
  6. Step 6: Final answer
    x = 581.82

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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.