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Finding the Fourth Proportional to 1,787.27, 2,680.91 and 470.93

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Solution

The fourth proportional to 1,787.27, 2,680.91 and 470.93 is: 706.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.27 : 2,680.91 = 470.93 : x
  2. Step 2: Convert to fraction form
    1,787.27/2,680.91 = 470.93/x
  3. Step 3: Cross multiply
    1,787.27x = 2,680.91 × 470.93
  4. Step 4: Simplify right side
    1,787.27x = 1,262,505.19
  5. Step 5: Solve for x
    x = 1,262,505.19/1,787.27
  6. Step 6: Final answer
    x = 706.39

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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.