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Finding the Fourth Proportional to 933.24, 1,400 and 471.04

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Solution

The fourth proportional to 933.24, 1,400 and 471.04 is: 706.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.24 : 1,400 = 471.04 : x
  2. Step 2: Convert to fraction form
    933.24/1,400 = 471.04/x
  3. Step 3: Cross multiply
    933.24x = 1,400 × 471.04
  4. Step 4: Simplify right side
    933.24x = 659,456
  5. Step 5: Solve for x
    x = 659,456/933.24
  6. Step 6: Final answer
    x = 706.63

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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.