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Finding the Fourth Proportional to 1,164.89, 1,606.87 and 787.43

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Solution

The fourth proportional to 1,164.89, 1,606.87 and 787.43 is: 1,086.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.89 : 1,606.87 = 787.43 : x
  2. Step 2: Convert to fraction form
    1,164.89/1,606.87 = 787.43/x
  3. Step 3: Cross multiply
    1,164.89x = 1,606.87 × 787.43
  4. Step 4: Simplify right side
    1,164.89x = 1,265,302.65
  5. Step 5: Solve for x
    x = 1,265,302.65/1,164.89
  6. Step 6: Final answer
    x = 1,086.20

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Why These Related Problems?

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