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Finding the Fourth Proportional to 933.42, 1,288.23 and 535.14

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Solution

The fourth proportional to 933.42, 1,288.23 and 535.14 is: 738.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.42 : 1,288.23 = 535.14 : x
  2. Step 2: Convert to fraction form
    933.42/1,288.23 = 535.14/x
  3. Step 3: Cross multiply
    933.42x = 1,288.23 × 535.14
  4. Step 4: Simplify right side
    933.42x = 689,383.40
  5. Step 5: Solve for x
    x = 689,383.40/933.42
  6. Step 6: Final answer
    x = 738.56

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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.