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Finding the Fourth Proportional to 1,176.82, 1,765.71 and 407.38

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Solution

The fourth proportional to 1,176.82, 1,765.71 and 407.38 is: 611.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.82 : 1,765.71 = 407.38 : x
  2. Step 2: Convert to fraction form
    1,176.82/1,765.71 = 407.38/x
  3. Step 3: Cross multiply
    1,176.82x = 1,765.71 × 407.38
  4. Step 4: Simplify right side
    1,176.82x = 719,314.94
  5. Step 5: Solve for x
    x = 719,314.94/1,176.82
  6. Step 6: Final answer
    x = 611.24

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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.