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Finding the Fourth Proportional to 933.62, 1,399.80 and 386.06

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Solution

The fourth proportional to 933.62, 1,399.80 and 386.06 is: 578.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.62 : 1,399.80 = 386.06 : x
  2. Step 2: Convert to fraction form
    933.62/1,399.80 = 386.06/x
  3. Step 3: Cross multiply
    933.62x = 1,399.80 × 386.06
  4. Step 4: Simplify right side
    933.62x = 540,406.79
  5. Step 5: Solve for x
    x = 540,406.79/933.62
  6. Step 6: Final answer
    x = 578.83

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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.