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Finding the Fourth Proportional to 1,176.01, 1,764.82 and 406.51

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Solution

The fourth proportional to 1,176.01, 1,764.82 and 406.51 is: 610.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.01 : 1,764.82 = 406.51 : x
  2. Step 2: Convert to fraction form
    1,176.01/1,764.82 = 406.51/x
  3. Step 3: Cross multiply
    1,176.01x = 1,764.82 × 406.51
  4. Step 4: Simplify right side
    1,176.01x = 717,416.04
  5. Step 5: Solve for x
    x = 717,416.04/1,176.01
  6. Step 6: Final answer
    x = 610.04

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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.