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Finding the Fourth Proportional to 1,170.42, 1,755.59 and 292.92

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Solution

The fourth proportional to 1,170.42, 1,755.59 and 292.92 is: 439.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.42 : 1,755.59 = 292.92 : x
  2. Step 2: Convert to fraction form
    1,170.42/1,755.59 = 292.92/x
  3. Step 3: Cross multiply
    1,170.42x = 1,755.59 × 292.92
  4. Step 4: Simplify right side
    1,170.42x = 514,245.96
  5. Step 5: Solve for x
    x = 514,245.96/1,170.42
  6. Step 6: Final answer
    x = 439.37

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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.