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Finding the Fourth Proportional to 1,176.49, 1,764.84 and 483.20

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Solution

The fourth proportional to 1,176.49, 1,764.84 and 483.20 is: 724.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.49 : 1,764.84 = 483.20 : x
  2. Step 2: Convert to fraction form
    1,176.49/1,764.84 = 483.20/x
  3. Step 3: Cross multiply
    1,176.49x = 1,764.84 × 483.20
  4. Step 4: Simplify right side
    1,176.49x = 852,770.69
  5. Step 5: Solve for x
    x = 852,770.69/1,176.49
  6. Step 6: Final answer
    x = 724.84

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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.