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Finding the Fourth Proportional to 1,680.91, 2,521.63 and 707.29

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Solution

The fourth proportional to 1,680.91, 2,521.63 and 707.29 is: 1,061.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.91 : 2,521.63 = 707.29 : x
  2. Step 2: Convert to fraction form
    1,680.91/2,521.63 = 707.29/x
  3. Step 3: Cross multiply
    1,680.91x = 2,521.63 × 707.29
  4. Step 4: Simplify right side
    1,680.91x = 1,783,511.07
  5. Step 5: Solve for x
    x = 1,783,511.07/1,680.91
  6. Step 6: Final answer
    x = 1,061.04

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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.