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Finding the Fourth Proportional to 754.03, 1,130.46 and 342.94

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Solution

The fourth proportional to 754.03, 1,130.46 and 342.94 is: 514.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.03 : 1,130.46 = 342.94 : x
  2. Step 2: Convert to fraction form
    754.03/1,130.46 = 342.94/x
  3. Step 3: Cross multiply
    754.03x = 1,130.46 × 342.94
  4. Step 4: Simplify right side
    754.03x = 387,679.95
  5. Step 5: Solve for x
    x = 387,679.95/754.03
  6. Step 6: Final answer
    x = 514.14

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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.