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Finding the Fourth Proportional to 1,185, 1,777.48 and 454.27

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Solution

The fourth proportional to 1,185, 1,777.48 and 454.27 is: 681.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185 : 1,777.48 = 454.27 : x
  2. Step 2: Convert to fraction form
    1,185/1,777.48 = 454.27/x
  3. Step 3: Cross multiply
    1,185x = 1,777.48 × 454.27
  4. Step 4: Simplify right side
    1,185x = 807,455.84
  5. Step 5: Solve for x
    x = 807,455.84/1,185
  6. Step 6: Final answer
    x = 681.40

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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.