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Finding the Fourth Proportional to 1,173.27, 1,760.21 and 524.46

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Solution

The fourth proportional to 1,173.27, 1,760.21 and 524.46 is: 786.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.27 : 1,760.21 = 524.46 : x
  2. Step 2: Convert to fraction form
    1,173.27/1,760.21 = 524.46/x
  3. Step 3: Cross multiply
    1,173.27x = 1,760.21 × 524.46
  4. Step 4: Simplify right side
    1,173.27x = 923,159.74
  5. Step 5: Solve for x
    x = 923,159.74/1,173.27
  6. Step 6: Final answer
    x = 786.83

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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.