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Finding the Fourth Proportional to 933.94, 1,288.84 and 514.30

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Solution

The fourth proportional to 933.94, 1,288.84 and 514.30 is: 709.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.94 : 1,288.84 = 514.30 : x
  2. Step 2: Convert to fraction form
    933.94/1,288.84 = 514.30/x
  3. Step 3: Cross multiply
    933.94x = 1,288.84 × 514.30
  4. Step 4: Simplify right side
    933.94x = 662,843.97
  5. Step 5: Solve for x
    x = 662,843.97/933.94
  6. Step 6: Final answer
    x = 709.73

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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.