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Finding the Fourth Proportional to 1,168.92, 1,753.34 and 291.42

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Solution

The fourth proportional to 1,168.92, 1,753.34 and 291.42 is: 437.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.92 : 1,753.34 = 291.42 : x
  2. Step 2: Convert to fraction form
    1,168.92/1,753.34 = 291.42/x
  3. Step 3: Cross multiply
    1,168.92x = 1,753.34 × 291.42
  4. Step 4: Simplify right side
    1,168.92x = 510,956.89
  5. Step 5: Solve for x
    x = 510,956.89/1,168.92
  6. Step 6: Final answer
    x = 437.12

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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.