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Finding the Fourth Proportional to 1,176.68, 1,764.41 and 591.05

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Solution

The fourth proportional to 1,176.68, 1,764.41 and 591.05 is: 886.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.68 : 1,764.41 = 591.05 : x
  2. Step 2: Convert to fraction form
    1,176.68/1,764.41 = 591.05/x
  3. Step 3: Cross multiply
    1,176.68x = 1,764.41 × 591.05
  4. Step 4: Simplify right side
    1,176.68x = 1,042,842.75
  5. Step 5: Solve for x
    x = 1,042,842.75/1,176.68
  6. Step 6: Final answer
    x = 886.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.