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Finding the Fourth Proportional to 754.80, 1,131.04 and 292.08

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Solution

The fourth proportional to 754.80, 1,131.04 and 292.08 is: 437.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.80 : 1,131.04 = 292.08 : x
  2. Step 2: Convert to fraction form
    754.80/1,131.04 = 292.08/x
  3. Step 3: Cross multiply
    754.80x = 1,131.04 × 292.08
  4. Step 4: Simplify right side
    754.80x = 330,354.16
  5. Step 5: Solve for x
    x = 330,354.16/754.80
  6. Step 6: Final answer
    x = 437.67

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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.