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Finding the Fourth Proportional to 1,157.44, 1,736.15 and 291.75

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Solution

The fourth proportional to 1,157.44, 1,736.15 and 291.75 is: 437.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.44 : 1,736.15 = 291.75 : x
  2. Step 2: Convert to fraction form
    1,157.44/1,736.15 = 291.75/x
  3. Step 3: Cross multiply
    1,157.44x = 1,736.15 × 291.75
  4. Step 4: Simplify right side
    1,157.44x = 506,521.76
  5. Step 5: Solve for x
    x = 506,521.76/1,157.44
  6. Step 6: Final answer
    x = 437.62

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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.