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Finding the Fourth Proportional to 1,176.27, 1,764.79 and 483.26

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Solution

The fourth proportional to 1,176.27, 1,764.79 and 483.26 is: 725.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.27 : 1,764.79 = 483.26 : x
  2. Step 2: Convert to fraction form
    1,176.27/1,764.79 = 483.26/x
  3. Step 3: Cross multiply
    1,176.27x = 1,764.79 × 483.26
  4. Step 4: Simplify right side
    1,176.27x = 852,851.10
  5. Step 5: Solve for x
    x = 852,851.10/1,176.27
  6. Step 6: Final answer
    x = 725.05

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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.