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Finding the Fourth Proportional to 933.87, 1,403.75 and 523.81

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Solution

The fourth proportional to 933.87, 1,403.75 and 523.81 is: 787.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.87 : 1,403.75 = 523.81 : x
  2. Step 2: Convert to fraction form
    933.87/1,403.75 = 523.81/x
  3. Step 3: Cross multiply
    933.87x = 1,403.75 × 523.81
  4. Step 4: Simplify right side
    933.87x = 735,298.29
  5. Step 5: Solve for x
    x = 735,298.29/933.87
  6. Step 6: Final answer
    x = 787.37

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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.