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Finding the Fourth Proportional to 1,387.03, 1,914 and 827.53

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Solution

The fourth proportional to 1,387.03, 1,914 and 827.53 is: 1,141.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.03 : 1,914 = 827.53 : x
  2. Step 2: Convert to fraction form
    1,387.03/1,914 = 827.53/x
  3. Step 3: Cross multiply
    1,387.03x = 1,914 × 827.53
  4. Step 4: Simplify right side
    1,387.03x = 1,583,892.42
  5. Step 5: Solve for x
    x = 1,583,892.42/1,387.03
  6. Step 6: Final answer
    x = 1,141.93

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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.