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Finding the Fourth Proportional to 1,607.53, 2,411.28 and 827.75

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Solution

The fourth proportional to 1,607.53, 2,411.28 and 827.75 is: 1,241.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.53 : 2,411.28 = 827.75 : x
  2. Step 2: Convert to fraction form
    1,607.53/2,411.28 = 827.75/x
  3. Step 3: Cross multiply
    1,607.53x = 2,411.28 × 827.75
  4. Step 4: Simplify right side
    1,607.53x = 1,995,937.02
  5. Step 5: Solve for x
    x = 1,995,937.02/1,607.53
  6. Step 6: Final answer
    x = 1,241.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.