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Finding the Fourth Proportional to 1,157.54, 1,736.30 and 291.84

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Solution

The fourth proportional to 1,157.54, 1,736.30 and 291.84 is: 437.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.54 : 1,736.30 = 291.84 : x
  2. Step 2: Convert to fraction form
    1,157.54/1,736.30 = 291.84/x
  3. Step 3: Cross multiply
    1,157.54x = 1,736.30 × 291.84
  4. Step 4: Simplify right side
    1,157.54x = 506,720.33
  5. Step 5: Solve for x
    x = 506,720.33/1,157.54
  6. Step 6: Final answer
    x = 437.76

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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.