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Finding the Fourth Proportional to 933.75, 1,399.82 and 471.24

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Solution

The fourth proportional to 933.75, 1,399.82 and 471.24 is: 706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.75 : 1,399.82 = 471.24 : x
  2. Step 2: Convert to fraction form
    933.75/1,399.82 = 471.24/x
  3. Step 3: Cross multiply
    933.75x = 1,399.82 × 471.24
  4. Step 4: Simplify right side
    933.75x = 659,648.82
  5. Step 5: Solve for x
    x = 659,648.82/933.75
  6. Step 6: Final answer
    x = 706.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.