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Finding the Fourth Proportional to 933.69, 1,400.55 and 813.42

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Solution

The fourth proportional to 933.69, 1,400.55 and 813.42 is: 1,220.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.69 : 1,400.55 = 813.42 : x
  2. Step 2: Convert to fraction form
    933.69/1,400.55 = 813.42/x
  3. Step 3: Cross multiply
    933.69x = 1,400.55 × 813.42
  4. Step 4: Simplify right side
    933.69x = 1,139,235.38
  5. Step 5: Solve for x
    x = 1,139,235.38/933.69
  6. Step 6: Final answer
    x = 1,220.14

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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.