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Finding the Fourth Proportional to 757.42, 1,134.00 and 409.50

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Solution

The fourth proportional to 757.42, 1,134.00 and 409.50 is: 613.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.42 : 1,134.00 = 409.50 : x
  2. Step 2: Convert to fraction form
    757.42/1,134.00 = 409.50/x
  3. Step 3: Cross multiply
    757.42x = 1,134.00 × 409.50
  4. Step 4: Simplify right side
    757.42x = 464,374.02
  5. Step 5: Solve for x
    x = 464,374.02/757.42
  6. Step 6: Final answer
    x = 613.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.