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Finding the Fourth Proportional to 933.21, 1,288.43 and 833.45

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Solution

The fourth proportional to 933.21, 1,288.43 and 833.45 is: 1,150.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.21 : 1,288.43 = 833.45 : x
  2. Step 2: Convert to fraction form
    933.21/1,288.43 = 833.45/x
  3. Step 3: Cross multiply
    933.21x = 1,288.43 × 833.45
  4. Step 4: Simplify right side
    933.21x = 1,073,841.98
  5. Step 5: Solve for x
    x = 1,073,841.98/933.21
  6. Step 6: Final answer
    x = 1,150.70

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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.