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Finding the Fourth Proportional to 753.41, 1,130.42 and 406.33

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Solution

The fourth proportional to 753.41, 1,130.42 and 406.33 is: 609.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.41 : 1,130.42 = 406.33 : x
  2. Step 2: Convert to fraction form
    753.41/1,130.42 = 406.33/x
  3. Step 3: Cross multiply
    753.41x = 1,130.42 × 406.33
  4. Step 4: Simplify right side
    753.41x = 459,321.75
  5. Step 5: Solve for x
    x = 459,321.75/753.41
  6. Step 6: Final answer
    x = 609.66

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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.