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Finding the Fourth Proportional to 702.83, 1,054.26 and 182.80

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Solution

The fourth proportional to 702.83, 1,054.26 and 182.80 is: 274.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.83 : 1,054.26 = 182.80 : x
  2. Step 2: Convert to fraction form
    702.83/1,054.26 = 182.80/x
  3. Step 3: Cross multiply
    702.83x = 1,054.26 × 182.80
  4. Step 4: Simplify right side
    702.83x = 192,718.73
  5. Step 5: Solve for x
    x = 192,718.73/702.83
  6. Step 6: Final answer
    x = 274.20

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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.