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Finding the Fourth Proportional to 753.76, 1,130.80 and 320.80

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Solution

The fourth proportional to 753.76, 1,130.80 and 320.80 is: 481.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.76 : 1,130.80 = 320.80 : x
  2. Step 2: Convert to fraction form
    753.76/1,130.80 = 320.80/x
  3. Step 3: Cross multiply
    753.76x = 1,130.80 × 320.80
  4. Step 4: Simplify right side
    753.76x = 362,760.64
  5. Step 5: Solve for x
    x = 362,760.64/753.76
  6. Step 6: Final answer
    x = 481.27

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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.