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Finding the Fourth Proportional to 1,185.71, 1,778.36 and 454.91

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Solution

The fourth proportional to 1,185.71, 1,778.36 and 454.91 is: 682.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.71 : 1,778.36 = 454.91 : x
  2. Step 2: Convert to fraction form
    1,185.71/1,778.36 = 454.91/x
  3. Step 3: Cross multiply
    1,185.71x = 1,778.36 × 454.91
  4. Step 4: Simplify right side
    1,185.71x = 808,982.58
  5. Step 5: Solve for x
    x = 808,982.58/1,185.71
  6. Step 6: Final answer
    x = 682.28

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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.