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Finding the Fourth Proportional to 757.22, 1,135.62 and 294.86

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Solution

The fourth proportional to 757.22, 1,135.62 and 294.86 is: 442.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.22 : 1,135.62 = 294.86 : x
  2. Step 2: Convert to fraction form
    757.22/1,135.62 = 294.86/x
  3. Step 3: Cross multiply
    757.22x = 1,135.62 × 294.86
  4. Step 4: Simplify right side
    757.22x = 334,848.91
  5. Step 5: Solve for x
    x = 334,848.91/757.22
  6. Step 6: Final answer
    x = 442.21

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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.