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Finding the Fourth Proportional to 933.36, 1,399.11 and 522.84

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Solution

The fourth proportional to 933.36, 1,399.11 and 522.84 is: 783.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.36 : 1,399.11 = 522.84 : x
  2. Step 2: Convert to fraction form
    933.36/1,399.11 = 522.84/x
  3. Step 3: Cross multiply
    933.36x = 1,399.11 × 522.84
  4. Step 4: Simplify right side
    933.36x = 731,510.67
  5. Step 5: Solve for x
    x = 731,510.67/933.36
  6. Step 6: Final answer
    x = 783.74

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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.