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Finding the Fourth Proportional to 933.63, 1,399.77 and 471.39

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Solution

The fourth proportional to 933.63, 1,399.77 and 471.39 is: 706.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.63 : 1,399.77 = 471.39 : x
  2. Step 2: Convert to fraction form
    933.63/1,399.77 = 471.39/x
  3. Step 3: Cross multiply
    933.63x = 1,399.77 × 471.39
  4. Step 4: Simplify right side
    933.63x = 659,837.58
  5. Step 5: Solve for x
    x = 659,837.58/933.63
  6. Step 6: Final answer
    x = 706.74

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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.