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Finding the Fourth Proportional to 933.86, 1,401.20 and 386.17

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Solution

The fourth proportional to 933.86, 1,401.20 and 386.17 is: 579.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.86 : 1,401.20 = 386.17 : x
  2. Step 2: Convert to fraction form
    933.86/1,401.20 = 386.17/x
  3. Step 3: Cross multiply
    933.86x = 1,401.20 × 386.17
  4. Step 4: Simplify right side
    933.86x = 541,097.42
  5. Step 5: Solve for x
    x = 541,097.42/933.86
  6. Step 6: Final answer
    x = 579.42

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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.