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Finding the Fourth Proportional to 1,176.42, 1,764.54 and 310.71

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Solution

The fourth proportional to 1,176.42, 1,764.54 and 310.71 is: 466.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.42 : 1,764.54 = 310.71 : x
  2. Step 2: Convert to fraction form
    1,176.42/1,764.54 = 310.71/x
  3. Step 3: Cross multiply
    1,176.42x = 1,764.54 × 310.71
  4. Step 4: Simplify right side
    1,176.42x = 548,260.22
  5. Step 5: Solve for x
    x = 548,260.22/1,176.42
  6. Step 6: Final answer
    x = 466.04

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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.