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Finding the Fourth Proportional to 1,207.29, 1,665.58 and 787.50

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Solution

The fourth proportional to 1,207.29, 1,665.58 and 787.50 is: 1,086.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.29 : 1,665.58 = 787.50 : x
  2. Step 2: Convert to fraction form
    1,207.29/1,665.58 = 787.50/x
  3. Step 3: Cross multiply
    1,207.29x = 1,665.58 × 787.50
  4. Step 4: Simplify right side
    1,207.29x = 1,311,635.75
  5. Step 5: Solve for x
    x = 1,311,635.75/1,207.29
  6. Step 6: Final answer
    x = 1,086.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.