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Finding the Fourth Proportional to 1,185.18, 1,776.93 and 454.62

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Solution

The fourth proportional to 1,185.18, 1,776.93 and 454.62 is: 681.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.18 : 1,776.93 = 454.62 : x
  2. Step 2: Convert to fraction form
    1,185.18/1,776.93 = 454.62/x
  3. Step 3: Cross multiply
    1,185.18x = 1,776.93 × 454.62
  4. Step 4: Simplify right side
    1,185.18x = 807,827.92
  5. Step 5: Solve for x
    x = 807,827.92/1,185.18
  6. Step 6: Final answer
    x = 681.61

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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.