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Finding the Fourth Proportional to 933.84, 1,400.10 and 522.72

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Solution

The fourth proportional to 933.84, 1,400.10 and 522.72 is: 783.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.84 : 1,400.10 = 522.72 : x
  2. Step 2: Convert to fraction form
    933.84/1,400.10 = 522.72/x
  3. Step 3: Cross multiply
    933.84x = 1,400.10 × 522.72
  4. Step 4: Simplify right side
    933.84x = 731,860.27
  5. Step 5: Solve for x
    x = 731,860.27/933.84
  6. Step 6: Final answer
    x = 783.71

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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.