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Finding the Fourth Proportional to 1,185.75, 1,776.78 and 454.95

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Solution

The fourth proportional to 1,185.75, 1,776.78 and 454.95 is: 681.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.75 : 1,776.78 = 454.95 : x
  2. Step 2: Convert to fraction form
    1,185.75/1,776.78 = 454.95/x
  3. Step 3: Cross multiply
    1,185.75x = 1,776.78 × 454.95
  4. Step 4: Simplify right side
    1,185.75x = 808,346.06
  5. Step 5: Solve for x
    x = 808,346.06/1,185.75
  6. Step 6: Final answer
    x = 681.72

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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.