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Finding the Fourth Proportional to 1,176.93, 1,766.23 and 484.23

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Solution

The fourth proportional to 1,176.93, 1,766.23 and 484.23 is: 726.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.93 : 1,766.23 = 484.23 : x
  2. Step 2: Convert to fraction form
    1,176.93/1,766.23 = 484.23/x
  3. Step 3: Cross multiply
    1,176.93x = 1,766.23 × 484.23
  4. Step 4: Simplify right side
    1,176.93x = 855,261.55
  5. Step 5: Solve for x
    x = 855,261.55/1,176.93
  6. Step 6: Final answer
    x = 726.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.