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Finding the Fourth Proportional to 933.42, 1,288.20 and 513.84

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Solution

The fourth proportional to 933.42, 1,288.20 and 513.84 is: 709.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.42 : 1,288.20 = 513.84 : x
  2. Step 2: Convert to fraction form
    933.42/1,288.20 = 513.84/x
  3. Step 3: Cross multiply
    933.42x = 1,288.20 × 513.84
  4. Step 4: Simplify right side
    933.42x = 661,928.69
  5. Step 5: Solve for x
    x = 661,928.69/933.42
  6. Step 6: Final answer
    x = 709.14

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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.