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Finding the Fourth Proportional to 933.52, 1,288.22 and 519.52

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Solution

The fourth proportional to 933.52, 1,288.22 and 519.52 is: 716.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.52 : 1,288.22 = 519.52 : x
  2. Step 2: Convert to fraction form
    933.52/1,288.22 = 519.52/x
  3. Step 3: Cross multiply
    933.52x = 1,288.22 × 519.52
  4. Step 4: Simplify right side
    933.52x = 669,256.05
  5. Step 5: Solve for x
    x = 669,256.05/933.52
  6. Step 6: Final answer
    x = 716.92

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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.