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Finding the Fourth Proportional to 933.57, 1,400.83 and 500.63

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Solution

The fourth proportional to 933.57, 1,400.83 and 500.63 is: 751.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.57 : 1,400.83 = 500.63 : x
  2. Step 2: Convert to fraction form
    933.57/1,400.83 = 500.63/x
  3. Step 3: Cross multiply
    933.57x = 1,400.83 × 500.63
  4. Step 4: Simplify right side
    933.57x = 701,289.27
  5. Step 5: Solve for x
    x = 701,289.27/933.57
  6. Step 6: Final answer
    x = 751.19

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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.