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Finding the Fourth Proportional to 933.87, 1,288.70 and 514.20

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Solution

The fourth proportional to 933.87, 1,288.70 and 514.20 is: 709.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.87 : 1,288.70 = 514.20 : x
  2. Step 2: Convert to fraction form
    933.87/1,288.70 = 514.20/x
  3. Step 3: Cross multiply
    933.87x = 1,288.70 × 514.20
  4. Step 4: Simplify right side
    933.87x = 662,644.30
  5. Step 5: Solve for x
    x = 662,644.30/933.87
  6. Step 6: Final answer
    x = 709.57

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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.