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Finding the Fourth Proportional to 1,702.29, 2,554.80 and 662.79

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Solution

The fourth proportional to 1,702.29, 2,554.80 and 662.79 is: 994.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.29 : 2,554.80 = 662.79 : x
  2. Step 2: Convert to fraction form
    1,702.29/2,554.80 = 662.79/x
  3. Step 3: Cross multiply
    1,702.29x = 2,554.80 × 662.79
  4. Step 4: Simplify right side
    1,702.29x = 1,693,295.89
  5. Step 5: Solve for x
    x = 1,693,295.89/1,702.29
  6. Step 6: Final answer
    x = 994.72

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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.