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Finding the Fourth Proportional to 933.30, 1,285.20 and 670.86

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Solution

The fourth proportional to 933.30, 1,285.20 and 670.86 is: 923.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.30 : 1,285.20 = 670.86 : x
  2. Step 2: Convert to fraction form
    933.30/1,285.20 = 670.86/x
  3. Step 3: Cross multiply
    933.30x = 1,285.20 × 670.86
  4. Step 4: Simplify right side
    933.30x = 862,189.27
  5. Step 5: Solve for x
    x = 862,189.27/933.30
  6. Step 6: Final answer
    x = 923.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.