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Finding the Fourth Proportional to 933.80, 1,399.69 and 385.84

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Solution

The fourth proportional to 933.80, 1,399.69 and 385.84 is: 578.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.80 : 1,399.69 = 385.84 : x
  2. Step 2: Convert to fraction form
    933.80/1,399.69 = 385.84/x
  3. Step 3: Cross multiply
    933.80x = 1,399.69 × 385.84
  4. Step 4: Simplify right side
    933.80x = 540,047.46
  5. Step 5: Solve for x
    x = 540,047.46/933.80
  6. Step 6: Final answer
    x = 578.33

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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.