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Finding the Fourth Proportional to 756.69, 1,134.33 and 294.77

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Solution

The fourth proportional to 756.69, 1,134.33 and 294.77 is: 441.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.69 : 1,134.33 = 294.77 : x
  2. Step 2: Convert to fraction form
    756.69/1,134.33 = 294.77/x
  3. Step 3: Cross multiply
    756.69x = 1,134.33 × 294.77
  4. Step 4: Simplify right side
    756.69x = 334,360.78
  5. Step 5: Solve for x
    x = 334,360.78/756.69
  6. Step 6: Final answer
    x = 441.87

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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.