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Finding the Fourth Proportional to 816, 1,125.52 and 521.14

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Solution

The fourth proportional to 816, 1,125.52 and 521.14 is: 718.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    816 : 1,125.52 = 521.14 : x
  2. Step 2: Convert to fraction form
    816/1,125.52 = 521.14/x
  3. Step 3: Cross multiply
    816x = 1,125.52 × 521.14
  4. Step 4: Simplify right side
    816x = 586,553.49
  5. Step 5: Solve for x
    x = 586,553.49/816
  6. Step 6: Final answer
    x = 718.82

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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.